Strange question; would I vote for a muslim to be president? The answer is no, not under any circumstances given the structure and history of their beliefs and systems which are contrary to those of the highest forms of Western Civilization, i.e., democracy, capitalism and Judeo-Christianity. In fact, their beliefs are to destroy those bases of our systems and replace them with their own. I wouldn’t vote for a nazi or communist either, given their beliefs/systems are enemies of Western Civilization as well, which is why we fought to destroy them, and which is why we are at war with islam too, like it,or believe it, or not.
Hard to imagine, Western Civilization, giving way to the madness that owns this religion. But; hey they are patient; and they are making progress. (Have only to look at BHO; to get a feeling, for America; and to appreciate what 'political correctness' CAN do. . .to any mind.
We now have in place in our White House; all elements of the worst of those you mention, that America fought wars for - and against.) And this disaster is celebrated. . .