Dear Numbnuts,
Conservatives aren't criticizing the fact he won it, they're taking issue with the fact he didn't do jack shit to deserve it, something which even you can't deny, despite not just drinking the Kool-Aid, but mainlining it straight to your veins.
Be that as it may, I direct your attention to Ronald Reagan for his Nobel for ending the Cold War and freeing literally hundreds of millions from the oppression of communism. Oh wait--he didn't get recognized for that, now did he?