Nooooooooooooo no no no no. They have the same name. The PC branch is technically called the Otherworld Enforcers, specifically. There was IC discussion of having a different name entirely for the PCs, but nobody ever came up with anything, so they kept the Enforcers name.

If anything the PCs are only a branch of the native organization. The NPC Sergei Taciyon is the one technically in charge of the whole thing, including the PC commanders. He is the big boss.