There are organs in smaller churches that perform some of those kinds of duties. Going by such names as board of elders, ethics committee, ethics subcommittee, etc. It doesn't go snooping on its own accord but if someone reports misconduct then they go see if it's true and if so take action. The RCC is so bloomin' big that it could populate a town with people dedicated to this function. But it would be wise to lose "Inquisition" from its name. That has permanent bad press, and stating in retort that the pure church cannot err doesn't help (because we gotta deal with impure churches here on earth).
Impure churches. That's the wheat mixed in with the tares. I wonder, are there holy churches? For real, not just claiming to be.
Either some major Catholic news has transpired that I missed, or I've promulgated a misunderstanding here. As far as I knew, sometime around 1875 the Inquisition was officially dropped, and the list of banned books and ideas transferred to another entity, to be followed soon by members the inquisition's staff. Said entity was headed up by Ratzinger before he became Pope.
In my humble opinion, this chain of affairs does not bode well for continuing amicable relations between the Church and the rest of the western catholic world--much of which is seething resentfully over the 12th century attitudes of the Vatican.