In deciding how to deal with persons, i consider the things that affect the interaction. So that way, the religion of a person like a president may very well not be important.
Where i live, in the Netherlands, this would be rather stringent, since I would like to keep things secular. Even relating religion rather then values directly with things the electable person deals with, downs his "score". (5.6% of last votes were for religious parties, CDA doesnt count, for me.)
If I would live in the USA I would have to be more lenient, since most politicians mention religion. (and people do not see that this only distracts from what is going on, some of them may even demand it.) Still, I could still try choose the people who avoid religion in their work.
BTW It would seem to me that US govt is in need of overhaul, corporations having too much influence, too much focus on the president, too little opposition possible in congress? So i would either vote blank or on some third party. (dont know how things are politically in individual states though)