Not true, the "Deep State" are the thousands of un-elected bureaucrats working for the federal government in DC. 95% of whom are Democrats. They are the people that run DoJ, FBI, CIA, Department of Education, IRS etc.
OK, good. I believe you're the only one I've ever seen actually try to define what the "Deep State" actually is.
But I call you and raise you.
"Un-elected bureaucrats" are only a subset of the larger "Deep State". The Deep State is the ENTIRE $3+ trillion UNCONSTITUTIONAL portion of the federal government. Actually many "unelected bureaucrats" are constitutionally valid, for instance executive "appointments" granted in Article II of the Constitution.
But we are threatened by the HUGE $3+ trillion unconstitutional portion of the feds (the "Regulatory State" (to which you refer)), unconstitutional Executive Cabinet Departments, most of the Alphabet Soup of the federal government which is unconstitutional like the FDA, the HHS, the FCC, the EPA, etc. etc, and the unconstitutional federal acts and laws.
THAT IS THE DEEP STATE which either we dismantle or will dismantle us.