Am I wrong for telling my mum to stay away from my son?

So my mum and I have had a rocky relationship ever since I was young. It's mainly been due to her having borderline personality disorder, depression and a few other mental and physical health issues.

It has led to fights where she's pinned me down on the floor with her hands around my throat. I wasn't the best and did aggravate the situation, but I was a typical teenager.

Now I've moved out. I didn't want my mother at the birth of my son. But now it's causing an even greater rift.

One recent argument is where I tried to get my son out of the house (He's 7 months). And she scratched and pulled at my arm while I was holding him. I now have a lovely scar due to that.

The most recent is her threatening to commit suicide because I tried to plan a surprise for her. She then moved to pick up my son so I calmly told her that she wouldn't be touching him in that frame of mind. I then get called various swear words. My father offers no resistance, while my sister can do no wrong and fully supports my mother. We can't speak without arguing because I'm so tired of walking on eggshells around her. Even saying 'I think' is enough to set her off.

I've now become cold towards her and cannot tell her that I love her anymore because I don't. I'm beginning to resent my father for never defending me against the verbal or physical abuse, and I feel like she's turned my sister against me. I have tried but it's always okay for a few weeks before another massive fight breaks out

Am i wrong for now saying I don't want her around my son due to our relationship being so volatile?