You hit the nail on the head IMO. Science and religion are based on two different epistemic theories, which happen to be mutually exclusive. The former is based on some form of empirical and logical analysis (although I don't want to understate the broadness of the philosophies is the philosophy of science). The latter, in general, is based on faith. It is possible to be both in support of religion and science, but I think this would require some amount of cognitive dissonance, since there is no unified epistemic theory which accounts for both science and religion AFAIK.