Believe it or not, guys, I fill in love with a Christian woman and had intensive thoughts of asking her for marriage in a time I seriously considered leaving the country to (by chance) hers. Among those thoughts I was hesitant mainly because I worried about her in finding conflicts in the beliefs. This led me to forget about it and break my heart myself for her sake. Not sure if it was one sided as I never told her because of that. Well, soon after the consideration of leaving the country changed, so I guess my ultimate answer came to end everything.
As for the subject at hand, please don't get this the wrong way, but I'm a bigger picture kinda guy and would consider further development for the future family, even tho in my case it didn't get to get this far. I'm not saying to separate, I'm just suggesting to consider it very well. Future possible conflicts will hurt the children more, if any take place.
I hope things go will with you.