Possible to win over a womanizer?

I recently started talking to an awesome guy, who is 4 years older than me and has a child. He is a great father and is settled in his life. I'm 22, and still have a few years until I am done with school. I'm hoping to get into the Physician Assistant program, which is 28 months. It's been about a year since I have dated, because I couldn't seem to get over my ex. I finally opened up to this guy, and really could see us together. We connected physically and emotionally. He was in the war Iraq, and it had been about 2 years since his divorce with his wife. He swore up and down he didn't love her, but he admitted he was a womanizer and just seemed to push women away because he was scared to get hurt. I was scared too, because this was the first time I opened up to any guy in a llooongggg time. We spent an awesome night together, and then the next two days he didn't respond. I knew something was up and I asked him if he really did want a relationship with me, or if he was just using me. He said he did, but he said he didn't think we would make a good match because I didn't have life "figured out". Clearly I do! He said that were at two different points in our life, and that I'm not settled in my life. I understand I'm 22 and I still have school, but it seemed like an excuse. I know that I could have made him very happy, but somehow he is making excuses to push me away. I knew what I was getting into, that he is pretty screwed up, but I really felt like he was worth it. I still do, but I know there is nothing I can do. I need some advice on how to tackle this and take it in. I know I haven't known him for very long, but something felt right with him. Something that I have never felt with anyone before, and I'm not exactly the type of girl to obsess over a situation like this.
Possible to win over a womanizer?
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