is this enough to keep her away from my kids?

from day one i’ve asked my childrens dad not to bring anyone around them until 6+ months into the relationship and obviously that kind of entails a happy/healthy one. he’s brought his girlfriend of 4 months around my children a handful of times. now i know this sounds bitter but i don’t think she’s very mentally stable. i’ve met her twice and both times she was crying. i’ve heard from everyone else she constantly cries. one day she received a message saying her boyfriend (my bd) has herpes. he did NOT. never had a cold sore or anything like that in his life. one month after she received that message he called me crying saying he tested positive. i told him he needs to have her go get tested. she never did. seems odd right? she also spoke on my baby that passed away. he has told me he sleeps on the couch a lot due to not wanting to be around her. he also said he’s had the cops called on his apartment twice because she likes to scream, slam doors, throw things, and punch stuff. he had to take her to the ER because she thought she broke her wrist from punching something. he’s lost EVERYTHING since he met this girl. he got fired from his job and he’s being evicted. he’s recently been suicidal. he’s told me he doesn’t love her but he also won’t leave so idk what’s going on there and i know i can’t make him see what everyone else does. his mom and I are really close and she’s said that she thinks she’s unstable and has a really bad feeling. is all of this enough to keep her from my children now that she’s proven to have some anger issues? thanks in advance