"Member of a country club" implies deliberate choice, at adult age, with full assent.

Mentioning in passing that you're a Catholic Christian has entirely different implications - it's most likely to be a set of values you got willy-nilly from your parents, that may have little practical implications on how you go about your life and work decisions. It would be absurd to rule someone out of a position based solely on learning that they're a member of this or that religion.

Maybe a workable tactic, if you're concerned, would be to say something like "Oh, by the way, some folks on the team you'll join are practicing Satanists, are you OK with that?". Let the narrow-minded select themselves out, religious tolerance goes both ways. ;)