I'm going to flip the question on its head and ask something else, how closely does the religion of your world describe how your world works? Most religions were developed on the dual idea of trying to explain how everything worked and how to justify the desired political order.
A lot of mysticism is generally fought against by organized religion since it allows for multiple sources of divinity, which is something that a singular organization may want to fight. You may also have people fighting against mysticism as out of date folk knowledge.
It sounds like the world you're describing is that the religion accurately reflects the world, with mystics acting as scientists and engineers operating beyond the law. It would be akin to some random person in modern society working with radioactive or disease research.