Sorry to hear about the intro with the kids and the OM. My ex took 7 months to do this to make sure things were serious between her and the dirt bag. I give her some credit for waiting. I would guess your W is desperate to fill that "father" void when she has the kids and can not control this impulsive behavior. Because she is acting more on impluse rather than real emotions, I think this A is more likley to fail than succeed, but who knows (be prepared for both outcomes).
I still cringe when the kids mention the OM (which is rare thank god)and just need more time.