Hi Different Drummer,
It's good to hear from you. I hope little one is doing well! Well, here comes my two cents.
I think what is missing here are healthy natural boundaries. I know that can be an overused word, but that's it in a nutshell. It means where you end and I begin. Your parents do not recognize your boundaries, your Self, your right to be an individual. As your dad himself said,
you are a part of us. I note he didn't say you are a part of our family. And why would that change depending on where you are located? That is telling to me.
He is upset because the status quo has been changed greatly and not by HIS doing. From what S&G has written, I gather he is used to setting all the terms and conditions not only for himself, but for everyone around him. He plans all the vacations, jobs, etc. He makes all the decisions. This isn't love, this is control.
Boundaries allow you to have balance between separation and togetherness. But since your parents have no boundaries and have extreme trouble recognizing limits, then extreme measures are needed. Hence the call monitoring, the move away. I am greatly surprised (pleasantly) that your mother has started therapy. Perhaps your move has tipped things in a direction so that other members need to examine the family dynamics, too. I see this as a good outcome, not a failure.
I do feel for you, DD. My H also had to put in some extreme controls when I was going through the same kind of separation process with some family members. We screened calls, declined invitations, and finally divorced a family member because we couldn't have peace and space to breathe otherwise. We did try. I like to think of myself as a team player, a nice person, etc. Setting limits with my SIL and father was new to me. I felt disloyal and mean. But I also knew it was necessary. It took a lot of self-examination to figure out why it was so hard for me, and also to figure out that I didn't need permission to grow up on my own terms.
I did waver. My H had to hold my feet to the fire a couple of times because I was so weak. It was extremely difficult for me to set limits. It feels unloving. But I also need to say that he didn't appreciate having to be the "bad guy" just to get his wife "back in the house" emotionally. I was tempted to use him as the excuse or tool to placate my father. but it wasn't fair and not good for our relationship. It's also not fair for you to be in the position of having to choose. In an ideal situation, you would be able to balance being a daughter and a wife. But your Dad won't let go of being #1 in your eyes.
I'm glad you are about to start counseling because just reading your father's remarks as you have written them is classic N logic through the meat-grinder stuff. Designed to stir up guilt and shame. Immature to move away??? Huh? Some parents are thrilled when their kids move and take responsibility for themselves!

Why the pressure for these family vacations? because sis does? so this is just a keep up with sis move? (My H's family did that for a while. It's ironic that the family member who was pushing this agenda "for the kids" had the kids who were least interested in getting to know their cousins. And then there's the constant bickering over dinner tabs...so now we get together with a less rigid schedule.)
Back to you. I agree with others here. It's important to get to the bottom of how
you feel about your parents' behavior. A good therapist will help you own all your feelings about this confusing situation. Good luck DD. It's a worthwhile journey. MP