(Of course, I'm sure it'll go to a deserving individual whether or not he does...)
Setting aside all debate about whether one organization or medal should hold so much social and political currency, or the fact that humanitarian efforts, human rights, and peace are inherently and undeniably political to begin with, the aftermath would play out so hilariously: "For his efforts to find policy solutions to the issue of global warming, which truly is a worldwide issue, and for the added burden of having to do this in America, which is not only one of the biggest environmental polluters but also home to most of the people who doubt the existence of the issue in the first place, the Prize goes to..." And then the predictable reaction: "This is a European, liberal, anti-American conspiracy! Partisanship! Biased political statement! Waaaaaa!" And the American President, who technically lost a past election to the prize recipient, would have to congratulate the recipient on becoming the fifth (I think) American ever to get the prize, on being recognized by the world's most prestigious award organization for crusading against fixing something said President doesn't believe exists in the first place.
You can't make this up!