I'm another BPer who has to stay on antipsychotics to keep my moods balanced. Maybe I won't always have to be on the current dose, but going off entirely doesn't appear to be in the cards; I'm more prone to mania than depression.

In your case, however, I'd seek a second (really a third) opinion, since you've had one doc who was very much against APs for you in the absence of symptoms and now one who keeps you on them all the time. I'd also probably go with the tie-breaker. But whatever you do, DO NOT stop your AP (or any other psych med) without consulting your current pdoc; there are too many things that can go sideways if you stop cold-turkey.