She'll need to want to come back and be close to 100%. I had a wife realize she was wrong for having an EA. We started to reconcile, but I wanted fixes quickly, she wanted it very slowly - her healing from the love of the EA never really started.
Things took a nasty backslide because of me, and the wife has thrown it all away. Our oldest, 14, is mad at her right now, and wants us to put things back together.
Sounds like this flame will flame out in time - and then you'll have to make decisions. Don't give up hope, but realize you're getting a gift to work on yourself and your R with the kids at this time. It doesn't feel like that, I know. Read books. Take walks. Listen to some youtube videos on marriage, and why they break down. Learn about being a good father and how you can support the love language of your wife. It's probably why you're in the sitch you are.
Waiting like a dog for his master at the door will not get her back any sooner. Flex the brain, flex some iron, and clean up your physical and mental arenas.
You can do this - your sitch. has lots of positives in it.
M46, EXWW46 M15 T17 D20, S19, D13 M - Addiction since 1998 W EA/PA #1 2013/2014 W EA #2 June 2015... BD 1 Big D talk 9/15 BD 2 - EA/PA disc 10/30/15 Served D 1/22/16 Divorced 5/25/16 (yes, that fast!)