I would go maybe on the religion thing. I'm sort of "meh" about religion either way, so as long as the person wasn't too hardcore about whatever their religious choice, it probably wouldn't bug me.
Race, not an issue.
Hockey team preference, well... that one might be a deal-breaker.
Oh, I should clarify that it's hypothetical for me. I'm already married to an atheist, white, Flames fan.