Wonderful - it's great that you have taken steps with the help you all need.
But, it's important for you and your wife to seek counsel - together as a couple -so you can find a place of compromise with your kids and build the loving relationship you both desire. A refuge for both of you.
Also, my husband and I had to frequently dissengaged from the chaos at home. Weekly date nights were a must - and we could not talk about the kids on our date nights. Going out and remembering to have fun together was equally important, from having dinner with friends to ice skating, to concerts, picnics, bike riding, to art festivals. And, at least once a quarter we would do a long weekend away. It kept us connected when life was nuts at home.
Remember, the things you did when you were dating and the fun you had together. Keep the fun alive in your marriage because the kids really have a tendency, while in their teens, to drain the fun right out of your marriage.
They both put me in the middle of things that there is no way that I can win.
This is probably where your wife gets the angriest with you. There is no middle ground. It's agreeing with your wife's decisions in front of the kids, even if you feel she is dead wrong. And, if you make a decision, your wife has to back you up in front of the kids. Your kids cannot see or be witness to your disagreements with your wife. That is to be discussed with your wife behind closed doors.
There is a power struggle in your home - and your kids knows it. You and your wife have to drape your backs in the humility and grace of Christ.
Galatians 5:22-26
22 But the Holy Spirit produces this kind of fruit in our lives: love, joy, peace, patience, kindness, goodness, faithfulness, 23 gentleness, and self-control. There is no law against these things!
24 Those who belong to Christ Jesus have nailed the passions and desires of their sinful nature to his cross and crucified them there. 25 Since we are living by the Spirit, let us follow the Spirit’s leading in every part of our lives. 26 Let us not become conceited, or provoke one another, or be jealous of one another.
If you find you cannot do this for each other, then it will be at the sacrifice of your marriage and kids. No yelling, no swearing, no personal put downs/criticism. Lift each other up with words of praise.
When words of praise are absent in a marriage/passion dies. When there is no passion/praise dies. At this point, all you do is find fault with each other.