In home separation sounds awful. How is that even a separation? If it were me I'd need to get in a separate space and be able to institute 180, and go dark.
The thing to remember is that the woman you married and love doesn't exist right now. She's in the crazy affair state, and can't be trusted. She may or may not emerge at some future time, but I can tell you from bitter experience, who she is right now is not to be trusted.
As for the kids, I was able to negotiate 50% custody. The times you have them are great but very tiring, the times you don't are very lonely, but it's motivation to GAL.
Hang in there.
I don't care, then I do, then I don't, then I do... la de da