I'd guess most followers will do what they're told, within reasonable limits. If this were a formal theocracy they'd be doing theocratic things instead of sitting in offices doing salesandmarketing or product design or corporate law.

The crazies have additional leverage because they control access to basic resources - if you don't work for them, you don't eat and you have nowhere to live.

So it's a combination of physical enforcement (mediated by the illusion of money, and access to it) and passive compliance, with rewards for those who acquiesce without thinking too hard about what they're doing and why.

A limited focus on specific problem solving without any awareness of context is more of a help than a hindrance in this kind of environment.