Interesting question. To begin, matters of "proof" are rarely involved in analytical philosophy of religion. In fact, the days of when any philosopher claims to "prove" a thesis in metaphysics, epistemology, ethics, philosophy of science etc seem past. Philosophers for a while seem to settle on advancing good or cogent arguments (or plausible counter-arguments and counter-examples) rather than claiming to prove a point. Though there are some philosophers who do think they have proofs. Galen Strawson, for example, claims (wrongly, in my view) to have proven that no person is morally responsible for any of their acts.
Proofs to one side, it is interesting to wonder whether the evidential standards differ among analytic philosophers when they consider claims in science and claims in or about religion. Roger Trigg is an interesting philosopher who contend that science requires a philosophical foundation and that foundation invites or provides some evidence for theism. Richard Swinburne takes up and defends a similar position. In general, however, many philosophers today subscribe to the greater authority of the sciences (especially the natural or physical sciences) rather than the authority of religious teachings. For a balanced approach you might look at the two volume work Science and Religion in Dialogue edited by Melville Stewart (published by Wiley-Blackwell).