I know doing things that seem counter intuitive is the thing here. I want to save my marriage. I have read the about the LRT. I've even started to implement it. I guess I haven't read it like you say though: Is the basic premise of it to leave your former life behind, start a new one in the best way possible, improving yourself as you go, with the kids involved as much as possible, do it for yourself but hope that in the process of doing so your wife has a realisation of who you've become and maybe decides to change her mind?
YES, with the additional realization that if she doesn't, you and your kids will be okay.
And YES, it's hard. Damned hard. As the first sentence of a great booked called A Road Less Traveled says,