Well, ever since I dropped a ton of weight and gained a lot of muscle, I was "asked out" by a number of non-christian girls this year. Actually, most of them had asked me right after the first time we met. All I can say, it's not worth the gamble. You're kind of taking a risk when doing something like that and it the chances it works out perfectly are rather slim.
I've considered dating non-christian women before but I don't really see how it would work out. I mean, with having opposite beliefs and all, we would most likely argue about every other situation involving ethics or religion.