<human>: My wife and I have been married for four years. I'm in the military overseas, and she lives at home with our young daughter. Unfortunately, she cannot live with me, and it has impacted our relationship. November 2012, we fell apart and were unofficially (as in not legally) separated while we tried to figure out how best to split up everything in a divorce. I casually dated and she got into a relationship with some guy she met through a former friend. We were planning on divorcing at this point, so neither of us thought it was a problem. 

Well, then he got her pregnant then left her. We started talking about our former marriage and fixing things a few months after. Now, at the end of her pregnancy, we're really good. We both realized our issues were related to a lack of communication. We've both made efforts to adjust our behaviors, and things have been amazing with my wife, daughter and I. 

However, my wife is about to give birth any day now and we don't know what to do. I love her and am actually excited about having another child (even though she biologically isn't mine). My wife's ex wants nothing to do with her or the baby, and she has tried to communicate with him for the child's sake. The child's father's parents have reached out to my wife and have basically said they love their son, but don't agree with his choices (and they are also excited for the baby). 

How do we handle this? Because of the way the laws are where she lives, I'm automatically the father on the birth certificate, which I am fine with (we talked to a lawyer about that). I want to move forward with my family. If he wants nothing to do with the child, would it be wrong to just allow him to avoid responsibility? We don't need (or want) any sort of child support, and we're afraid it might make things messy. Would it be weird to continue a relationship with his family for the child's sake, even if he is out of the picture?

Summarize the given text in a few sentences.
<bot>: Wife and I split, she got pregnant, now we're back together and better than ever. Unsure of what to do with everything.