If there is any kind of "deep state," I imagine it would be something akin to Fredo Corleone heading up The Gang That Couldn't Shoot Straight.
The Deep State is actually connected to all the 438 Unregulated Government Agencies, that can now Unconstitutionally make laws, rules and regulations that bypass the votes of Congress. The Constitution states that only Congress can make the laws of the land, but Congress has, over the years, has handed this power off the Agencies, which is not in the Constitution.
These Agencies are populated with political appointments and career Government employees, many who have moved up the company ladder and up the hierarchy of power through their 30-40 year careers. These good and loyal Government employees will outlast any President and any Political party temporarily in power for 4-8 years.
You cannot easily fire anyone in government; union rules, with many in the Deep State still loyal to legacy administrations, such as the Cold War and the military industrial complex of their youth. Such would be Government people in the 60's, who are now senior level managers. This is the real power, behind the temporary political power, but it is much less obvious; deep state.
For example, if the EPA decided to alter the gas stove standards, even though the Constitution says Congress is the sole maker of laws, the EPA has been given power to make such new environmental laws, by proxy. They are not elected and cannot be fire even for political scamming. This allows all Politicians in Congress, to avoid tough votes on new unpopular, laws that could impact their reelection. They now have a third party Agency, who will do their bidden, who are above the law; deep state, who cannot be easily fired. The gas stove regulation did not work, not because the EPA did not try or because it got caught. It did not work, because the Republicans made it political; popular appeal, and the Left had to back down; call off the EPA dogs, due to the poor polling; deep state can offer legal protections, but not political protections.
As another example, there are Immigration laws, already on the books that were created by Congress, per the Constitution. These are the true Constitutional laws on the books for immigration. This should be the law of the land based on the Constitution if we did not have a corrupt Government via the deep state. The question is how did Biden break so many of these laws, mess up immigration, create a huge social debt, all without any legal accountability?
Biden made use of the deep state, by appointing Mayorkas to be the head of Homeland Security. He also used other Agencies. Since such Agencies can make new laws, apart from Congress, they are sort of above the Congressional law on the books. Biden let them do the dirty work. Congress had a hard time impeaching Mayorkas, since that could set a dangerous precedent that impacts all future Agency attack dogs and scams.
Both sides cheat this way, but there is a push on the Right, to force all agencies to come under the laws of Congress. This change is being avoided by the Democrats and some Republicans, since the deep state is an easy way to cheat with a solid political buffer. This resistance is also due to the Democrats having formed the most agencies, for this purpose, under the guise of helping people and the earth. However, behind the scenes; they can call in favors, and these Agencies can be used to free lance, with a wink and nod. Congress is buffered and the Agencies of the deep state are protected. Technically, Biden is not legally accountable for all the downside of the illegal immigration. But politically, the common person knows the buck stops at the top. This will impact his re-election, even if Mayorkas and others did the dirty work and are untouchable.
If your party was in charge, "you" can have the IRS target your political opponents on a wink and a nod. Nothing will happen to the attackers since they cannot be fired and they can pretend this selective justice was legitimate, based on a new obscure law they make just before releasing the dogs. You; in charge, gets to intimidate your opponent and nothing can be done, with no blame even reaching you, even if the crap hits the fan. The Democrat base seems to think Biden is innocent, since nothing ever happens to him. They do not understand the deep state buffer and how the dogs are loyal and protected.
Since all politicians need campaign donations, the $billionaire donor class is also part of the swamp, by buying politicians, who will use an Agency or two to target their competition; Big Oil will be targeted by the EPA, as they favor Electric. They will regulate old drilling but they will allowing fast tracking lithium strip mining. As another example, the DOJ, out of nowhere, reneged on a long standing business deal that had been made with Elon Musk for electric car development. This is punishment for buying Twitter and messing up the censorship scam for 2024.
The Democrats are also using DEI backed judges, via the DOJ, to go after Trump. Even if Trump wins all the battle, like he is doing, the Agency crooks are never fired, for their obvious shakedowns. This dynamics of Donors, Politicians and Agencies is the Swamp in a nutshell. Agencies are the deep state; behind the scenes power via unregulated law making. Each Administration, grows a new swamp head on the same deep state, snake body.
Regulating the lawless Regulatory or Deep Agency State, will be top priority for the next Republican President. The Democrats will resist and want to expand it, since pigs like to wallow in the swamp mud. If you try to clean up the Democrats pigs, they will go back to the mud, unless the ponds are all dried up. We need to protect them and us from their pig tendencies.
A good legal test case that can be used to combat the swamp, may be all the national and state debt, being created by immigration, without Congressional approval. Only Congress has the power of the purse. This immigration debt was not approved or legal without Congressional approval. Typically, the swamp, will vote for money or loans, after such swamp rip offs to cover themselves; added to the next budget. However, this may be a good case to address the overreach of the deep state. They got Al Capone via the IRS, was ripping off the tax payers.
Hypothetically, say Trump was to get in. Instead of allowing Congress to allot money to cover the swamp and deep state money crime of unapproved Congressional spending, they use that debt to hold the Agencies accountable. The states will be in an uproar to get their money back. We can take it away from the Agency budgets, for the next 20 years, or until it is all paid. This may break some agencies. which then can be reinvented into something new and more accountable and not part of the swamp.
This test case extrapolates nicely to all agencies that over spend by creating non Congressional approved laws that created excessive burden on tax payers. No Agency has the power to impose or levy taxes. It is good that the Republican held back on paying off the illegal ill gotten gain of illegal Agency immigration expenses, out of reflex; recent voided immigration spending bill. A good issue to run on, will be holding Agencies accountable for obliging the tax to pay money, they are not entitled to spend; add debt.