Dating a person is a personal issue. There is nothing bad in it but remember, 'iron sharpens iron'. Does the person share your beliefs, does he/she believe in God, does he believe in the bible. Read AMOS 3 VS 3.
I agree. I mean, you know what the Bible says. The scripture doesn't change. It all depends on how we receive the information.
See, intially, when you met him, you knew he wasn't Christian, but he is kind/respectful, etc. Now, that you have fallen for him, it's hard to let go. I think that's why you have been given advice by the other posters here to NOT date a non-christian to begin with. But again, it is a personal issue.
So, I'll answer you question, if it were me? Knowing what I know now, I would find out about this person before I decide to date them. Ok, for example, if I met Joe Blow at the job and we are attracted to each other. He asks me out, I'm not going to say 'oh by the way, are you Christian? Because if you're not, it's a no no!.' I would say something like, yes, we can talk over coffee away from work and see how that goes. And for me, being that my faith is very important to me, I would mention it our first meeting. If I find out he is not Christian, my best bet is to no longer go on a date with him.
Now, being someone who enjoys good company and hasn't dated in almost 3 years, that would be a challenge I guess. But knowing WHO I know and what I know now, I would have to be smart about it. No point of sharing your soul with someone who doesn't believe in the same Savior that you do.