Welcome,personally I have never seen where the 10 step white knuckling it, recovery program has worked. Have you considered getting into a more traditional program?
She doesn't trust you, your words, she needs to see long term action. Recovery is not about instant gratification, it is about a life long dedication to soberity.
If she is like me, she is tired of your empty promises, your bad behavior and giving you chance after chance, nothing changes if nothing changes and most important your drinking
does affect your children, they hear and see everything, they will carry their childhood into adulthood, they deserve a sober father, a good role model.