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Senate Republican Leader Mitch McConnell on Thursday continued to blast President Obama for his recent remarks regarding the Supreme Court, in spite of the administration's continued attempts to explain the comments.

"Respectfully, I would suggest the president back off," McConnell said in a speech at the Lexington, Kentucky Rotary Club, according to his prepared remarks. "Let the Court do its work. Let our system work the way it was intended."

Earlier this week, Mr. Obama said that if the Supreme Court were to overturn his health care overhaul, it would be "unprecedented."

The president has sought to clarify his remarks, noting that the court traditionally pays heed to Congress, and Attorney General Eric Holder on Thursday sent a letter to an appellate judge arguing that Mr. Obama's remarks were "fully consistent" with longstanding views of judicial review.

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Updated at 3:21 p.m ET

In response to a request from a federal appellate judge, U.S. Attorney General Eric Holder on Thursday offered reassurance that President Obama respects the Supreme Court's ability to interpret the constitutionality of the nation's laws.

In a three-page letter to appeals court judge Jerry Smith, Holder said recent comments from the president are "fully consistent" with longstanding views of judicial review.

Holder's letter is the latest step the administration is taking to clarify remarks Mr. Obama made this week regarding the Supreme Court's consideration of the 2010 health care reform law. Mr. Obama said Monday that if the law were overturned, it would be "unprecedented."

"Ultimately, I'm confident that the Supreme Court will not take what would be an unprecedented, extraordinary step of overturning a law that was passed by a strong majority of a democratically elected Congress," Mr. Obama said.

(CBS News) -- President Obama on Tuesday reiterated his prediction from a day earlier that the Supreme Court would uphold the constitutionality of the landmark health care law and said his administration is not working on a backup plan in case the nation's highest court throws out the signature legislative achievement of his presidency.

"I have enormous confidence that in looking at this law, not only is it constitutional, but that the court is going to exercise its jurisprudence carefully because of the profound power that our Supreme Court has," Mr. Obama told editors at the annual gathering of the Associated Press.  (watch some of Mr. Obama's remarks above at left)

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The Supreme Court this summer could strike down all or parts of President Obama's signature piece of legislation, the 2010 health care overhaul, but the White House emphatically maintained Wednesday that it's not preparing any contingency plans for that scenario.

"We believe the law is constitutional, and we are focused on implementing all of the provisions of the Affordable Care Act," Deputy Press Secretary Josh Earnest told reporters on Wednesday.

As to whether the White House was creating contingency plans for the law given the tough nature of the questions posed by the Supreme Court justices this week, Earnest said that is "not something we're spending a second doing."

Supporters of health care reform rally in front of the Supreme Court in Washington, Wednesday, March 28, 2012, on the final day of arguments regarding the health care law signed by President Barack Obama.

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(CBS News) After Tuesday's Supreme Court hearings, it looks like the high court could very well strike down one of the least popular and most controversial aspects of President Obama's 2010 health care overhaul -- the requirement for nearly all Americans to purchase health insurance.

On Wednesday morning, the court considered whether striking down the so-called individual mandate would require striking down the entirety of the law -- or at least other parts of it. If the court were to rule that the mandate is unconstitutional, it's possible some of the most popular aspects of the law would go down with it.

A CBS News/ New York Times poll released this week shows that three in 10 Americans want the court to strike down the mandate but to keep the rest of the law. Those people may not be happy to hear that even the Obama administration argued today that if the mandate goes, two other significant parts should go, too -- the rule barring insurance companies from discriminating against those with pre-existing conditions, and the rule barring insurers from charging more because of a person's medical history.

Former Republican presidential candidate, U.S. Rep. Michele Bachmann (R-MN) speaks to people protesting on the second day of oral arguments for the Patient Protection and Affordable Care Act in front of the U.S. Supreme Court building on March 27, 2012 in Washington, DC.

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(CBS News) WASHINGTON -- Amid the thumping drumbeats and random outbursts of her opposition, Jenny Beth Martin, the leader of the Tea Party Patriots, tried to get her microphone in working order outside of the Supreme Court Tuesday.

"I'm Jenny Beth Martin with Tea Party Patriots, and we're here today to represent the nearly 75 percent of Americans who want... Can they hear me?" Martin said into the mic, interrupting herself.

She started again, "I'm Jenny Beth Martin..." And then she stopped again. "Oh my god," she uttered into the microphone in frustration.

The noise of protesters continued unabated on the second day of Supreme Court hearings reviewing the constitutionality of President Obama's 2010 health care overhaul. Today, the court heard arguments getting to the meat of the issue: Whether the federal government can require nearly all Americans to acquire health insurance.

Protesters in favor of health care reform demonstrate outside of the Supreme Court in Washington, D.C., March 26, 2012, as a hearing on President Obama's health care legislation began.

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(CBS News) In the 2008 Democratic presidential primary, then-Sen. Barack Obama ran a campaign ad blasting Hillary Clinton's health reform plan for including a so-called "individual mandate." His ad argued the mandate "forces everyone to buy insurance, even if you can't afford it, and you pay a penalty if you don't ... It's not that people don't want health care; it's that they can't afford it."

But after winning the White House, President Obama told Congress a mandate was an essential part of improving the nation's health care system. "Unless everybody does their part, many of the insurance reforms we seek -- especially requiring insurance companies to cover pre-existing conditions -- just can't be achieved," he said.

Today, Mr. Obama's two arguments will play out before the Supreme Court, which could end up striking down the individual mandate as unconstitutional. The court will also consider whether taking down the mandate means bringing down the entire law, or possibly just other portions of it.

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CBS News Poll analysis by the CBS News Polling Unit: Sarah Dutton, Jennifer De Pinto, Fred Backus and Anthony Salvanto.

As the Supreme Court begins to hear arguments about the 2010 health care overhaul, just one in four say the high court should keep President Obama's signature legislative achievement intact, according to a new CBS News/ New York Times poll.

Thirty-eight percent say the entire law should be abolished, according the poll, conducted March 21-25. Another 29 percent would like the high court to strike down only the requirement that nearly all Americans obtain health insurance if they do not have it.

The court on Tuesday will hear arguments on whether the so-called individual mandate - which will require nearly all Americans to acquire insurance or pay a penalty -- is unconstitutional. The case tackles not only a hotly-debated legal matter, but also the most controversial aspect of Mr. Obama's health care law.

When asked directly about the mandate, which goes into effect in 2014, 51 percent of Americans said they disapprove of it, while 45 percent said they approve. Most Republicans and independents oppose the mandate, while Democrats support it.

Demonstrators for and against the Patient Protection and Affordable Care Act march and chant in outside the U.S. Supreme Court Building on March 26, 2012 in Washington, DC. Today the high court, which has set aside six hours over three days, will hear arguments over the constitutionality of the act.

(Credit: Chip Somodevilla/Getty Images)

In an election year in which Republican voters seem less than enthused about their leaders, the GOP establishment would like nothing more than to reignite the Tea Party base that came out in force in 2010. This week's Supreme Court case reviewing President Obama's health care law could do the trick.

Alternatively, the GOP's renewed emphasis on health care could backfire, leaving Democrats motivated.

The court's rulings and the consequences are hard to know at this point. The one certainty is that the court's consideration of the case is putting Mr. Obama's controversial health care law back in the spotlight squarely in the middle of the 2012 presidential race -- a move sure to rekindle the partisan passion that in part drove Democratic voters in 2008 and Republican voters in 2010.

On Monday, the court begins three days of hearings on the law, starting with the question of whether now is even the appropriate time for the Supreme Court to take up the case.

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CBS News Poll analysis by the CBS News Polling Unit: Sarah Dutton, Jennifer De Pinto, Fred Backus and Anthony Salvanto.

As the Supreme Court embarks on three days of historic arguments over President Obama's health care law - two years after the law was enacted - Americans remain skeptical about the legislation.

A CBS News/New York Times poll shows 47 percent of Americans disapprove of the president's Affordable Care Act, including 30 percent who strongly disapprove. In the poll, conducted March 21-25, only 36 percent of those questioned said they support the law either somewhat or strongly.