I can relate to your pain. My situation is a bit different, because I never joined the Society nor even "studied". To me, paying spousal support means subsidizing her working only part time, which means subsidizing her religion: a religion I don't believe in.
What I have is integrity. I won't lie about myself or commit the act she's so often (falsely) accused me of just to get her off my back. I am morally as well as legally bound to support her and the kids, and I do so even though it strains me financially.
That integrity, that self respect, is something she can't take away. And I won't give it away just so she can remarry in the Kingdom Hall. She knew the score before she said "yes". Then she got tired of being married to me, filed for divorce, and now she must live with that choice. She has the option to leave the WT: she did so once before (years before she dated me and became my wife), and she can do so again if she chooses. Yes, that choice has consequences, but it's hers to make and hers to live with. Not mine.
Stand strong, friend. Don't do something you'll regret. "The best response to divorce is living well."