This is a typical "shadow government" symptom. You have forces working within the government that 1) have their own agendas; 2) have connection to international communities, usually military-intelligence ones; 3) have almost zero regulation; 4) even many high ranking government officials don't know about them because they are brotherhood-like closed circles. This reminds me of Operation Gladio or Propaganda Due but d…
“Shadow government” = “Deep state”?
There's nothing wrong with the phrase "deep state". If you're concerned about associations with Trump (which I think you should not be), you can use a former Obama official's favored term, "the blob". Both, and many other similar phrases, are common in the foreign policy literature.
I think the first time I heard the phrase "shadow government" was in connection to Iran-Contra, where it described Oliver North and the small group in charge or those operations, but it's a phrase with many uses. I can't remember when I first heard of the "deep state", but I'd be fairly certain it was before Trump or anyone connected to him started using it.