I've dated religious, and not religious women before. My father is an Anglican minister and my parents are from Barbados, which is heavily into religion as a country. I was born in Canada, and baptized Anglican. Under my parents house and with their influence around me heavily, I was a good Christian boy. But, from traveling to different countries, getting a better view of what religion of any sort has done in the past good and bad, and from thinking in more broader terms of how life works and nature and knowing how VAST this universe is. I'll still defend the views of religion, to an extent, but I don't think we, as people, should follow "human" created doctrines, beliefs, rules of life/philosophy/science/law so blindly that it makes us puppets or mindless drones instead of what we are. The most intelligent, free-thinking, creations on THIS planet. I say THIS planet, because I do not believe we are the most intelligent creations in existence. That has yet to be scene by us and if we ever will, I don't know.
Well, sorry for the lengthy background, but because of my present feelings about our life as "humans", who are we to judge who is acceptable in the eyes of an all powerful creator. Or who are we to judge what way someone should believe. That's kind of playing "God" in it's own right. I'm not an Atheist, because I still have a belief in a higher power, whatever "IT" may be, because I have a hard time believing it's a "human".
So, in that respects, of course I will go out with someone who isn't, necessarily, religious. Just as long as you have a good heart and a belief in care in humanity, that's all I think we need in life. I'm sure that's what a "supreme being" would want us to feel.