It's rather odd framing this as a right vs. left discussion when traditionally it's been the other way round. FBI harassment of MLK, or COINTELPRO, are traditional examples of the deep state against the left. The left could write a very long charge sheet against the CIA.
Of course, this is consistent with the argument that the people complaining about the deep state on the right aren't "organic" but instead funded by a foreign intelligence service.
https://www.theguardian.com/world/2003/jul/17/iraq.usa
>The ideologically driven network functioned like a shadow government, much of it off the official payroll and beyond congressional oversight. But it proved powerful enough to prevail in a struggle with the State Department and the CIA by establishing a justification for war.
https://www.theguardian.com/commentisfree/2018/apr/22/leaks-...
>America doesn’t have coups or tanks in the street. But a deep state of sorts exists here and it includes national security bureaucrats who use secretly collected information to shape or curb the actions of elected officials.
But the whole "deep state" term seems to imply a great deal more. We have people here claiming the CIA is doing this to undermine the president. That's not at all backed up or necessary follows bureaucracy operating on its own.
I don't know what you mean by that.