We know that the Luminari works with the Gildam Arcanum so they likely oversee what they do and ensure there are no breakouts.
The same is likely true for any religious worshippers (as they are also known to stamp out any religion that isn’t approved of in the empire).
Demolitionists as well are employed by Erulan’s army so don’t see why they wouldn’t agree with the bulk of them, except for ones that go rogue again like Valdun, though that is no different to a soldier in an army deserting their people - it happens.
Nightblades are a trickier bunch to understand. They were originally a bunch of mercenaries that are trained in their order’s method of fighting and unique magic which has been kept secret. Anyone taking part whether they are born into the order or request training as an Inquisitor (if this is even allowed) would presumably have to swear an oath to not share the Nightblade order’s teaching. I imagine there would be some cooperation or want to train a Nightblade in the Luminari ways in modern times given that some of them like Ulgrim have moved to help the Erulan Empire as Spies.