Man is imperfect. The scientific method is a process that verifies, humans implement and observe the output. With religion, humans "observe" more than they can verify. Religion admits as much that it lacks verification, that's why it has faith.
Religion wants the best of both worlds, saying it is endowed with logic and verification yet when pushed you get the same tired argument about faith and 'gods exist outside logic'. At the same time it wants to say that it doesn't have to participate. Why should your side be special? Why can't I ultimately resort to illogic? Who knows, maybe my atheistic views are derived from a system so abstracted from my intellectual senses that I can validly resort to claiming they may ultimately stem from a time/place far removed from logic also, I just don't claim that it's an anthropomorphic entity like a god.