My impression is that Mia came from a horribly dysfunctional, damaging childhood, and that she was its victim. Unfortunately, such victims sometimes go on to victimize others, because it's all they know emotionally from their most formative & vulnerable years.
Yes, Mia clearly has MAJOR family issues & always has had them. It's interesting that adopted son Moses Farrow, who obediently & fearfully parroted Mia's accusations as a small boy, grew up to become a family & marriage therapist who rejected those accusations & re-established his father-son relationship with Allen.