The scuttlebutt (and I know women who have been advised to do this, and seen it work)
You need to get her out of the house, leaving the kids with you for a while – maybe she goes to visit her mum to have a break and think it all over, at which point you apply for residence and lock her out. alternatively she needs to lose her rag and hit you.
Obviously, it’s utterley wrong, but that’s the system
Edit:
Otherwise, you could potentially win 50:50, but the system is stacked against you, and without her supporting it, I wouldn’t rate your chances.
Given what you’ve said about her in the past, I would beware something underhand as outlined above coming your way if she is not getting her own way.