...and I think your choice can work out too, just not for me. I even think it can work out if a Christian dates a non believer, but from my perspective ....why make things more difficult than you have to?
Everything I stand for, what I believe, how I view things, and my goals in life are centered by my desire to fulfill God's will. If we have nothing in common at all, something that brings us both to a natural high, such as an undying hobby, what then can we hold on to when and if we reach a point where we've got nothing to "share" with one another?
I may not want to take part in his love (example: fishing) and he may not want to volunteer at the pound (my passion), and each time we talk about our favorite thing in the world, the other shrugs it off. ...or inside you know they want to care about what you love deeply, but just don't share the interest as deeply as you. This burns a small hole in you since what you love is so dear to you, and eventually you invest less time to this hobby b/c you have no one to share it with. What you have wanted to do your entire life. The one thing that will never fade between us, the one thing we will always have in common is our love for God. It's the one topic we can bring up or go to .....to find peace, hope, and "Renewal."
And to answer your question further:
http://www.carm.org/questions/yoked.htm