That's now how most BPD women would react to a break up.
I've been with a BPD woman, had a relationship with her for 2 years. She was paranoid as f*ck and was constantly scared that I'd cheat on her. I never cheated on her, in fact I was the most loyal beta dog back then you can think of. But lo ad behold, she did cheat on me. The moment I found out, I ditched her ass. She then begged me to give her a 2nd chance. I was stupid enough to consider it, but just considering wasn't enough for her, I needed to commit right away, but that didn't happen, so she flipped a b*tch at me, started screaming, yelling, trying to get under my skin, tear me apart emotionally by telling me details about her affairs, stuff I didn't want to hear at all. I told her to get the f*ck out of my house, but she wouldn't. Instead she started throwing with my stuff, after which I had to use force to get her out of my house.
Edit: Oh, I forgot to say, that before all that happened, she actually tried to blame me for her cheating. Can you f*cking believe that? What a c*nt.