I dream 'normal'. That is to say, I dream the same dreams as you, but in my dreams I am 'normal". In my dreams I don't have BPD. I always make good decisions, I always seem calm and collected even in the face of adversity. My relationships seem healthy and normal.
In my dreams I've never been to therapy. I've never tried to end my own life, or destroy someone else's. I find myself dealing with situations as any other person would, with logic and consideration.
I don't use people to get ahead, I don't punish people for not understanding who I am, I don't self-medicate to deal with adversity, I don't focus on people's buttons and set-them off. I'm not afraid to be touched. I'm not afraid to love or be loved. I talk to people, I leave my house with confidence.
In my dreams, I dream I am 'normal", by your definition.
In my dreams, I am who I crave to be in my reality.