Obama's supporters are American Haters. He hates America and hates patriotism and so do they. So I don't think it will turn off his supporters if he is Muslim or supports Islamic Anti-Americanism.
BTW, the Dems are so retarded. This election could be a slam dunk if they picked a moderate, especially since the economy looks like its about to tank. Instead, the best 2 candidates they can come up with are wackos.