I feel your pain man. I would have done anything to hold the family together. Emails about all the things I did wrong, tattoos, working out, partying, lacking career goals (my fault), telling me I should move out. Wanting body improvements done, which I shut down thankfully. Worst 3 years of my life and I am just now on the other side. MLC/WAW in the end its the same. She is not into you right now and you need to really focus on yourself and the kids. Be stronger than I was. This will be a long haul and probably won't work out like you think you want now. Do what you have to do, but never give into fear and thinking your decisions will change your W.
I did not leave but did shared nest for a while. Alternating weeks. While this seemed best for the kids and finances, it was really best for the W to keep doing and spending as desired. It was painful in general and while I had sex and such with W at times, I did not detach very well. I recommend at a minimum unfollow on social, but also recommend getting off if you keep looking at her stuff. Getting off social helped me. Once we started living completely separate, things started sinking in more. It is going to take a while man, but the faster you can focus on yourself the better chance you have in all scenarios.
Wife brought up MC shortly before D, but it was clear her goal was different than mine and mostly checking a box that we did it. It was too late, W didn't want to work on the marriage. She never really did once she left, so no chance.
I could have done some things better D-b ing. Like never reacting out of anger no matter how much you want to. Its tough and IC can help for sure. I just couldn't get past things enough and she couldn't either.
In the end you just have to be good with what you did for you and the kids and maybe it works and maybe you move on.