I just jumped in on your thread, but I can't get over the idea that her mixed signals are not a healthy response for either of you.
I would be very tempted to tell her that date night is off for the time being. She'll push, of course. I would simply say that you are willing to discuss anything and everything about the children, but now that she has moved out, you need time to sort things out and think them over.
Me: 43 XW: 43 T15 M14 D21, SS15, S11, D8 BD: 8/6 EA / possible PA discovered 9/29 D final 10/20