I was a WAW, so I understand a bit of what your wife is feeling. You have an amazing chance here because she has said she wants to work on it and you haven't moved on emotionally. This is wonderful. You may think that you've ruined things. You may have think that you have done irrevocable damage but everything starts right now. And your right now is a GREAT starting place.
Don't talk to her about the relationship at all. It may kill you. But don't bring up WAW, don't bring up how you've changed, don't talk about it AT ALL. If you spend all your time focusing on that, you won't start enjoying each other's company.
You mentioned that you realised that you put material things over quality time. Continue to recognise those things that you want to change that will make you a better person and better father whether you two get back together or not. She will notice. Don't talk about them.
As a WAW the minute my H stopped looking for me for any sort of validation in his life and started doing his own thing it turned my world upside down.
Post often even if it's just journaling. If you feel like texting or calling her don't come here and then see if you feel the same way 24 hours later. Read other people's threads...the advice they receive will help you. Everyone is very understanding and helpful.