Go dark! It will provide you with space to detatch. You gotta get stronger, for your kids, and for yourself. It's harder to do the work than it is to stay weak. Do the work. Reconciliation won't happen without change in you. You gotta put space and time between you and her...and work on yourself. Then, it might be possible. But, don't just do it to reconcile...do it because it needs to be done.
"Always go straight forward, and if you meet the devil, cut him in two and go between the pieces." - William Sturgis, clipper ship captain, 1830's.