I’ve said to her go away. Think about this - things do need to change and I will support her absolutely. She’s already defensive around this and I’m just gonna give it space. I have tried to say everything is raw and to let things calm. I’ll see
From her viewpoint, she feels betrayed, neglected, and insecure. Maybe there's no reason for that, but she feels how she feels because she's mentally ill. Her feelings are real and they cause her to make rash decisions (like this right now).
She has done this her entire life in all close relationships, so it's not about you. This is 100% about her own mind working against her and telling her to run before you leave her. It's not rational, but it's how she thinks.
You can work through this if you choose that path. But for now, she has to get over the mental hurdles that led her to the breakup in the first place. If you push, it only gets worse because that confirms her initial panic. So you have a great strategy- wait it out and see what happens.
For the kids though, I only meant that it might be beneficial to tell them today that it's over. That's putting them on this rollercoaster of emotions with you and it might not even be necessary if you work things out in a few days.