I know your story sounds really unique to you, and by no means I'm trying to diminish what you are experiencing by telling you this, but:
Almost every woman who I know who got out of a long term relationship fall really hard for someone right away, that person was always unavailable whether for being an emotional fuck up, in another relationship, living far away or just not looking for a serious relationship. When this happened to me, I was trying to figure out why I was feeling the way I was feeling and came up with a few theories:
1. I was used to caring for somebody and that emotional need just passed into the next person I became intimate with.
2. I was scared to be alone and seeing myself as inlove with someone else was an easier step into singleness then accepting the fact I was alone and on my own.
3. I really wanted to be in love and to be loved, but I was not ready at all to be in a relationship, I fall for an unavailable person because I could not, at that point, fall for anyone who might be available and who would get me into a serious relationship.
4. Dealing with the notion that my ex, who I've been with for over 9 years is out of my life was too hard to understand and a too big lose to deal with, it was easier for me to mourn a relationship that never happened with a relatively new person then to morn a very long complicated relationship. I projected the sorrow and sadness for the big lose on the small loss.
Saying all that - I really don't think that giving up on this guy is a lose of a big love in your life, I think it feels like that because you are actually mourning the divorce and the lose of a bigger chunk of your life.
The fact of the matter is that you and the new guy don't want the same thing, going on sleeping with him and hoping you'll change him or that he'll change his mind is futile, you'll just get more and more hurt pretending you can deal with it. I know it hurts, but the best thing to do would be to not talk, see or meet this guy for a long long time and move on.
Spend the next few months \ years in building yourself as an individual person and learn to be a happy single woman - that'll not only make you a happier, stronger person but will also insure that going into the next relationship a more equipped person that would avoid repeating the mistakes of the past.
It's really hard but it's really worth it.