What would you do in my situation?

My daughter's father is a douche bag tool, we were together for 2 years before I got pregnant. I'm now 5 months pregnant and I dumped him at about 2 1/2 months because I saw a lot of red flags I chose to ignore thoughout our relationship. I didn't want our daughter to be in that environment. He's trying to start a band and recently signed a deal with an independent label and he basically just thinks he's the sh*t. He was really excited when we found out we were expecting but he chose to spend more time out with the groupies and his band members than with me. I wouldn't tolerate anything less than the best for our daughter. I recently found out he's been talking a lot of crap about us (my daughter and I) saying I cheated on him and it's probably not even his even though he knows it damn well is. My question is do you think I would tell him when she's born? I don't talk to him at all right now, he calls me once/twice a month since I left trying to get back with me but I never respond. I just don't know if I want our daughter in his life until he grows up and puts his priorites in check. A lot of my friends and family have views, but I want an unbiased opinion?