DO NOT have the meeting with her and your family. If she demands it, tell her that you do not have to do anything that she demands and that you will not further validate her anger of your family. Plus that she will not use your children as bargaining chips and that as their father, you will be coming up with an amicable schedule for equal time between the two of you and that they will not be controlled by her an her BF any longer. Start putting your foot down.
The way you do it is calmly by looking at her DEAD in the eye and speak calmly and coldly to show you mean business. No yelling, no arguing. State your case and walk away.
M-43 W-40 2D - 9 and 5
Emotion, yet peace. Ignorance, yet knowledge. Passion, yet serenity. Chaos, yet harmony. Death, yet a new life.