It didn't occur to me the two groups were on such natural speaking terms.
So if I talk to a few Catholic priests who tell me the priesthood is about molesting underage altar boys, should I then go out and claim that is how Catholic priests see the priesthood?
Yes, you should. It's unlikely that you will be able to talk to several priests who would all say that, but if you do, by all means let the public know that this is an opinion shared by these Catholic priests.
P.S.: I think you may be forgetting that "Hackers believe in God" can mean any of "All hackers believe in God," "Hackers tend to believe in God" or "There are hackers who believe in God." From the context, it seems most likely to me that the latter is the OP's intended usage.
Well, now that's the crux of our disagreement. If I say white men are gay, I don't think anyone will argue that's a neutral statement (to which nobody will take issue) as it can be easily interpreted as meaning I only spoke to a handful of white men, and it's only them I'm speaking about.