I'm sorry I know this is long....

So I need some advice on what you would do. So this is my husband and I's first baby. We're super excited and my family seems excited too. His parents are happy but not as overjoyed as everyone else is, which is fine. My MIL has cancer and my FIL is an alcoholic. They're divorced but live side by side. So my FIL is a very hard man to be around. Even when he's not drinking he's so inappropriate and makes perverted comments. He likes to try to talk about sex in front of us and completely objectifies women. I ignore it but I worry with having a daughter her being around him. His ex girlfriends kids used to come over there a few years ago and he would get so wasted that my husband would have to take care of them (this is before we got married). I mean we've obviously told him if he's been drinking at all we will not bring her over to see him and she would never be over there without us anyway. But he has little to no care for his life and pretty much is drinking himself to death. It's hard because we tell him he has so much to live for especially with the baby on the way but he doesn't care. He already views his life as over. He's only 55 but has no care to get better. He says he drinks because he's lonely and bored. There's always a deeper meaning for being an addict or alcoholic. We've offered rehab and he's not willing to do it and of course we can't make him. My question is how much should he be involved with our kid? I honestly am weary about him being involved at all with his drinking and the way he talks. Me and my husband are obviously having these conversations together but I was curious what others would do in my situation. Do I wait until something happens before not letting him see her or do I save her from being exposed to that? Thanks :/ please no judgement

Let me also add, this would not interfere with my MIL seeing her. We would obviously still let her be involved. And I would fee this way if it were my dad and not his. The rules are the same for both sides of the family.