If you want a "mainstream" source of analysis of what is the deep state and how it works, in order to defuse the "conspiracy theory" label, you have this "classic" https://billmoyers.com/2014/02/21/anatomy-of-the-deep-state/
Essay: Anatomy of the Deep State February 21, 2014 by Mike Lofgren
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Yes, there is another government concealed behind the one that is visible at either end of Pennsylvania Avenue, a hybrid entity of public and private institutions ruling the country according to consistent patterns in season and out, connected to, but only intermittently controlled by, the visible state whose leaders we choose. My analysis of this phenomenon is not an exposé of a secret, conspiratorial cabal; the state within a state is hiding mostly in plain sight, and its operators mainly act in the light of day. Nor can this other government be accurately termed an “establishment.” All complex societies have an establishment, a social network committed to its own enrichment and perpetuation. In terms of its scope, financial resources and sheer global reach, the American hybrid state, the Deep State, is in a class by itself. That said, it is neither omniscient nor invincible. The institution is not so much sinister (although it has highly sinister aspects) as it is relentlessly well entrenched. Far from being invincible, its failures, such as those in Iraq, Afghanistan and Libya, are routine enough that it is only the Deep State’s protectiveness towards its higher-ranking personnel that allows them to escape the consequences of their frequent ineptitude. [2]
How did I come to write an analysis of the Deep State, and why am I equipped to write it? As a congressional staff member for 28 years specializing in national security and possessing a top secret security clearance, I was at least on the fringes of the world I am describing, if neither totally in it by virtue of full membership nor of it by psychological disposition. But, like virtually every employed person, I became, to some extent, assimilated into the culture of the institution I worked for, and only by slow degrees, starting before the invasion of Iraq, did I begin fundamentally to question the reasons of state that motivate the people who are, to quote George W. Bush, “the deciders.”
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