One of my exes so far was Christian and I really felt uncomfortable with that. I have no advice. Of course american style dating is pretty harmless, so just go for it. The important thing is to be yourself from the beginning I think. If you're out of the closet and the topic comes up, I'd be honest, otherwise it'll just become awkward in the long run if the relationship works out...
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
