Definitely try to ride Ministry. There is nothing else like it and it is hard to describe but riding ministry truly feels like I've entered an entirely different world.
I'm legitimately really glad to hear that you enjoy Ministry so much. That's wonderful, truly! I don't mean any of this to demean your reaction and experiences.
But I also just do not understand this in the slightest, if I'm honest!

It's just Transformers again..? But like, poorly paced and with a worse motion profile!
At least with Monsters, the Forbidden Journey / Spider-Man evolution is obvious. Unchained takes scenes that were previously only possible through the use of 3D Glasses and screens and represents them in physical space with real moving figures and sets. It's really engaging and well-done!
To me, Ministry only hits that twice. Once with the admittedly great cabinet battle scene, and another time with the Erumpent; which itself just feels like the Kong animatronic at IoA! Hardly an evolution.
I really honestly hope I'm able to see it from your perspective at some point. I just can't see Ministry as anything but a weird and kinda stale trail mix of leftover Potter content. It's Universal handing me a fancy tray of food scraps, crusts, and crumbs that the other, far better Potter rides left behind and showing it off like the gourmet dinners we got with Hagrids, Cirque, Diagon, and Forbidden Journey. A poorly concieved dish from the beginning only made worse by its position as the main entree of a large, half-baked empty land.