I wouldn't date anyone but if I was into the dating thing I'd probably avoid incompatible people even if they seemed fairly OK. I have only ever seen religious people get more religious (and generally, more extreme in what they believe) over time. Religious people can be OK when they're still in the "I believe what I believe but it's totally OK if you're not into it" phase. Eventually, they graduate to "If you disagree with me, you're evil" mode. At that point, you have a problem if your finances and so forth are hopelessly intertwined.