I'm refusing to apologize after it came out that my ex wife was right
Why not just apologize to her?
I still think my ex wife is a bitch.
Apologizing shows that we are capable of taking responsibility for our actions. A sincere apology allows you to let people know you're not proud of what you did, and won't be repeating the behavior.
I'm not. Her girlfiend is a hypocrite.
If this is something that is keeping you from moving on you should just do it. Once your conscience is clean you can move on and know you have taken care of the problem.