"The majority leader may not think we're serious about changing the bill, but we'd like to change the bill, and with a little help from our friends on the other side, we could improve the bill significantly," Senate Minority Leader Mitch McConnell, R-Ky., said.
Polls show that the public is divided over the health care law, which the Congressional Budget Office estimated will cost $938 billion over 10 years and extend insurance to 32 million more Americans.
A USA Today-Gallup poll released Tuesday found that 49 percent of Americans said passing the health care bill was a "good thing." Forty-two percent said they were angry or disappointed.
Outside Washington, D.C., people are channeling their anger against the health care law at their state representatives and vandalizing the offices of some of the lawmakers who voted in favor. Several lawmakers have asked for increased security both in Washington and outside their homes in their districts.
At the Democratic headquarters in upstate New York, someone threw a brick through the window with a note that read, "Extremism in defense of liberty is no vice," a quote from Barry Goldwater.
Anti-abortion Democrat Rep. Bart Stupak, D-Mich., who struck a deal to vote for the health care bill in exchange for an executive order from Obama, has been the subject of threatening phone calls calling him "baby killer" and wishing he would die. In one letter he received, there was a drawing of a hanging noose with Stupak's name written on the gallows. At the bottom it read, "All baby killers come to unseemly ends either by the hand of man or by the hand of God."
There have been so many cases of vandalism and angry phone calls that the FBI is now trying to figure out whether angry words will actually translate into violence.
Such actions "have no place in the civil debate in our country," House Speaker Nancy Pelosi, D-Calif., said today.
Rep. Barney Frank, D-Mass., said he doesn't believe Congress members are in a real danger right now, but he denounced Republicans for fanning the flames.
"It's an effort to kind of hijack that debate by coercive elements," Frank said on "Good Morning America" today, adding that his Republican counterparts over the weekend were "very much egging on this behavior rather than denouncing it."
Frank said Republicans need to offer an apology without any excuses, after not only encouraging protestors on Capitol Hill but also those who were heckling in the House gallery during Sunday's vote.
"I think they should apologize, denounce this without qualifying the denunciation, without explaining it," Frank said. "Why not just get up and say this is wrong ... and let's have the debates on the merits."
House Minority Leader John Boehner, R-Ohio, said people shouldn't resort to violent measures.
"There are ways for people to channel their anger and they should do it in a constructive way," Boehner said today.
But he also continued to denounce the health care law, telling reporters that the president, with the stroke of a pen "took away some of our freedoms."
House Minority Whip Eric Cantor, R-Va., denounced the violence in very strong terms. He also took aim at Democratic groups that are using these recent episodes for political posturing.
"It is reckless to use these incidents as media vehicles for political gains," Cantor said.