I do applaude you for wanting to provide for the child, but I wonder if she wasn't pushing you, what would you do?
Have you considered that children need so much more than money?????? Do you not want to teach your child things? I understand some people are not meant to be parents and that is fine, but if you don't want to be a parent, don't have sex. I don't buy the drunk excuse. Drunk is something you do to yourself. If you can't control yourself when you drink, don't.
If this woman is as bad as he portrays her to be (going after him, threatening, etc) then she is probably going to badmouth him to the kid. She won't understand that kids know they are part of 2 people and if mom thinks dad is such a terrible person and I have part of him in me, then I must be a terrible person too. His only hope is to show the child he cares about it.
The child didn't chose to get drunk and have sex with someone they didn't know. I just have a bad feeling that this child has 2 parents who have no business being parents and 1 of them needs to step up to the mat. Why can't dad prove to be the one?
However, enough with my opinion- you have my advice from a legal standpoint