I'd call the "Deep State" just the conglomeration of Federal employees that serve the US, but are not necessarily elected. There is a lot of inertia in the entrenched process, which I don't see as necessarily a bad thing. Just think if the dipshit in chief got to hire everyone he wanted (as if he has any qualifications beyond that stupid TV show) in the government. He's making enough of a mess, as it is.
If you get to thinking you’re a person of some influence, try ordering somebody else’s dog around.