Yes it is belief and faith that are the corner stone of religions. This is not true of science - in fact the direct opposite is true, I think, as science seems to constantly choose to challenge and test previously accepted results and dogmas.

I know a few PhDs, (2 are family), and 'priestly' is not a word I'd use of them (now annoying-- that's a possibility!) Scepticism also is part of their make-up, and that is something that a dedicated priest does not, or maybe cannot, allow himself to feel in regard to his/her beliefs.