So, Here's the general Idea:
The Inquisition (If you have a better name, tell me) is a group of unidentified individuals who work for the Vatican for the purposes of counteracting paranormal threats to the Holy Church and Christendom. Individuals within the Organization are referred to as inquisitors. The Inquisition is held together by a magitech have construct called 'The Unimatrix' (if you have a better name, tell me). This serves as a way for inquisitors to contact each other, share information, etc. The Inquisition obviously makes use of paranormal and anomalous phenomena, but it's generally behind the scenes stuff.
Before you write this off as a copy of WH 40k, please here me out.
This organisation isn't composed of it's own members. It's composed of people in other GoIs. So an unusually competent UIU agent could be an inquisitor in disguise. And that site director who's really interested in that one satanic SCP could be sizing it up for eventual termination by his bud (and fellow inquisitor) in the exorcist division.
I feel something like that would make a pretty cool story.
So, tell me what you think.