Just to expand briefly:
I once asked my husband if he thought of himself more of an American or a Christian. He said "American." I, OTOH, identify more as a Christian, not in a dogmatic way (I'm not actually a member of a church and I also try to adhere to aspects of Buddhism and Hinduism). But while I am certainly American (and have been for many generations, predating the American Revolution) I would be more likely to adhere to principles of Christianity than the Constitution if there were ever a conflict. And sometimes I think there is.