I have BPD too. I haven't had much of a problem with racing thoughts, but I do have thoughts that get stuck in my head and are hard to erase--especially bad ones. And sometimes I do have a tendency to mishear people. I think it has a lot to do with obsessively wanting to predict everyone's reaction all the time and getting carried away in it.
I get all kinds of problems with my thoughts. BPD screws up your stress tolerance, your ability to concentrate, how you react to the world. That can add on all sorts of problems not even necessarily associated with the DSM-V criteria.
Like lately I've been under a lot of emotional and mental stress and I'm finding that my short term memory is shot, and I'm confused often and find it hard to explain to people what emotion I'm feeling.
I feel for you. It's tough; hang in there.