As President Obama continues to defend his health care law against mounting scrutiny, U.S. Rep. Michele Bachmann says Obama is promoting a "system that won't work."

During a Bachmann appearance on CNN's "The Situation Room" on Wednesday, host Wolf Blitzer asked her, "Do you want to try to make it better, to fix it, or do you just want to destroy it?"

Bachmann said: "What I want is the finest possible health care for America that we can have. We did have fabulous health care, and I think we can again." Blitzer countered Bachmann, telling her "there were millions of people who had no health care."

In response, Bachmann said Obama is promoting "fantasy health care" with the Affordable Care Act. She listed several promises the president made that she believes he's failed to keep, including his 2009 campaign guarantee that, "If you have insurance that you like, then you will be able to keep that insurance."

Under the law's new insurance marketplaces, millions of people are getting notices in the mail informing them that they can no longer keep their existing plans. Plans are being canceled if they fail to meet the health care law's minimum standards, including maternity care, emergency visits and mental health treatment.

The dropped plans contradict the pledge.

The rollout of the Affordable Care Act has been hampered by technical problems with the Healthcare.gov insurance exchange website, problems Obama acknowledged and said would soon be fixed.

"If it doesn't, it will be the laughingstock of America," Bachmann said.

But, "the bigger problem is a health care system that won't work," she added.

Bachmann is among the members of Congress who've voted more than 40 times to defund or repeal the health care law.

"It's no surprise that some of the same folks trying to scare people now are the same folks who have been trying to sink the Affordable Care Act from the beginning," Obama said during a speech in Boston on Wednesday.

"Frankly, I don't understand it. Providing people with health care should be a no-brainer. Giving people a chance to get health care should be a no-brainer."