One in four registered voters say that they are less likely to vote for Obama in November 2012 because he expressed support for same-sex marriage, according to a new CBS News/New York Times poll

Among Democrats, 12% say that Obama's position makes them less likely to back him, while 29% say they are now more likely to do so. And 22% of independents say that they are now less likely to vote for Obama, while 14% say that they are more likely to vote for him. Twenty-three percent of registered voters, including 11% of Democrats and 20% of independents, say that Mitt Romney's opposition to same-sex marriage makes them more likely to vote for him. Seventeen percent say that it makes them less likely to support him, a figure that includes 20% of independents but just 2% of Republicans. Asked if they had to decide if same-sex marriage should be legal, 51% said no, including 81% of Republicans, 25% of Democrats and 54% of independents. Forty-two percent said yes, including 13% of Republicans, 63% of Democrats and 43% of independents. Fifty-percent of Americans (including 70% of Republicans) say that they favor an amendment to the U.S. Constitution that would allow marriage only between a man and a woman, something Mitt Romney supports. Forty-six percent, including Obama, oppose such an amendment. Most Americans believe that Obama came out in support of same-sex marriage for political reasons. Sixty-seven percent overall said that his decision was grounded in politics, including 86% of Republicans and 70% of independents. Only 24% overall said that he made the decision because he thought it was the right thing to do.