First off, let me preface this by saying this isn't a personal attack since you seem to always believe these comments are.
" I can finally parent them exactly how I want without any interference."
That is where you are wrong. Your W also parents them which automatically creates interference. As mentioned before, your kids are going to be stuck in the middle when there is something that you teach them that contradicts what your W does. They are going to feel like they have to choose sides. If possible, IMHO you should at least try to have some level of communication (without resentment) with your W for the kids sake.
She's angry because you never tried seeing her POV and you're angry at her for the same. One person is going to have to stop this cycle from happening for your kids sake. The last thing you want them to do is have a longlasting memory of their mom and dad hating each other.
M-43 W-40 2D - 9 and 5
Emotion, yet peace. Ignorance, yet knowledge. Passion, yet serenity. Chaos, yet harmony. Death, yet a new life.