If you have no respect for the Church’s authority to teach, why do you want that same authority to witness your marriage?
I don’t understand how you and your fiancee could allegedly have master’s degrees in theology and yet still want to be married in a church that you don’t believe teaches the Truth.
If I was in a church that I didn’t think taught the Truth, I would leave. Immediately. (Actually, I was, and I did.)
The marriage prep coordinators can actually make a recommendation to your priest that you two not be married, but it sounds like your priest is too weak to stand up for the Faith even if they did make that recommendation. A shame, really.