Not being American, I'd have a big problem electing any of them, but pretending for a sec...
-Homosexual -> No problem
-African-American -> No problem
-Hispanic -> No problem
-Muslim -> Maybe a problem, depends on other factors
-Jew -> less likely than a Muslim to be a problem, but still depends
-Mormon -> Major problem - this level of delusion should not be let free with a nuclear bomb
-Atheist - > no problem
-Woman -> No problem.
Edit... cadisney, well, I'm glad I made you laugh. Unfortunately, most of what Mormon's believe to be true - particularly about history - is so completely and irretrievably incorrect that delusion is the only explanation for belief. Sorry, the truth might hurt, and being deluded, you're not likely to see it, but that doesn't stop it being the truth.