Toxic grandparents?

I have a 11 month old baby. Shes the first grandchild on both sides. My family is so toxic and always has been (emotional, mental abuse, my dad physically abused us as kids). It became worse when the biggest family secret came out when I was 2 months pregnant (I’m 26, married, and DONT live with my family anymore). The biggest secret was that My dad had another family with 2 little kids. My mom and dad have been married for 30 years so you can imagine the shock to my mom and even to us who had NO IDEA. We just thought he worked a lot (out of state and such that’s why he was always gone but he was really with them) he has a whole other apartment and 2 little kids with this woman who KNEW he was married. Basically living a full double life and was never planning on telling us, this came out accidentally when my sister saw him with this family in public far away from home. This mistress knows all about each one of us. She knows about my mom and still pursued my dad. They’ve been together for 10 years!!

So to say things got ugly is an understatement. It’s safe to say shit hit the fan when this news came out and our family has never been the same (my mom had no idea or even the slightest clue about this so she went full psycho, screaming, crying, etc). Throughout my whole pregnancy my mom and dad fought with each other, my mom was never there for me my entire pregnancy because she had to “getaway from here” she left to see her family in another country practically until one month till I gave birth never once asking about me or even caring. Anyway, I couldn’t invite them to the hospital because both my mom and dad would’ve chewed each other out in public so they were pissed when I had my daughter and never invited them until I got home. Well things haven’t changed till this day. They still live together (long story, my mom won’t divorce him because she’s spiteful and doesn’t want the other woman to have him and my dad doesn’t want to divorce my mom because he doesn’t want to pay alimony) and they fight constantly and I’m not just talking bickering or arguing. Full on fighting, screaming, crying. They did it once when I brought my 4 month old over to their house, they fought in front of her which was the second time my dad met my daughter. I told myself never again. So now I don’t allow them to see my daughter together nor do I invite them over or go over to their house. I get bitched at over the phone how I’m keeping their grandchild away from them when I’ve explained why. They say they will come separate but that shit is such a headache and I’m so sick of dealing with them! My dad bitches about my mom behind her back and my mom bitches about my dad behind his back. It’s so toxic but they call me the selfish one cause I don’t let them see their grandchild. Since my daughter is almost one, she’s starting to understand emotions and I just don’t want that in front of her and to be honest my husband doesn’t either. I always bring up how they didn’t care and fought in front of her when she was 4 months old and my mom says “oh it was just one time it’ll never happen again”. Like this whole thing is a joke. They should divorce and move on with their life. My sister always wants to come over but she’s so close to my mom that she always wants to bring her with and I just don’t want that. I’m not gonna choose between parents and say yes you can bring my mom while my dad hasn’t seen her in months too. Like I don’t want to be in this position!!!

And if you guys say why don’t we meet up in public, it’s still constant bickering. They fought at my little brothers graduation in front of everyone. It was so awkward. Even my husband was like so embarrassed. So my question is, if you were in my position what would you do? Cut off the family? How do they see their grandchild? Are they entitled to see their grandchild? It’s honestly a mess over here and would love some guidance.