Privately owned and operated runways do exist. Airports tend to be publicly funded because they're expensive, so pretty much from the outset those who want an airport go to the government to get one. The regulations that apply depend on what kind of flights happen. If they're exclusively FAR 91 and non-charter then it's a minimal regulatory environment. When there are charters, air taxi, or air carrier flights, it becomes increasingly government regulated.
And yet, fly as a private passenger on your own jet at a public airport and you're also just as able to bypass almost all of these checks, too. And while a chartered Citation X isn't as likely to be as capable of destruction as a laden Boeing, it could sure do or carry some threat.
Privately owned and operated runways do exist. Airports tend to be publicly funded because they're expensive, so pretty much from the outset those who want an airport go to the government to get one. The regulations that apply depend on what kind of flights happen. If they're exclusively FAR 91 and non-charter then it's a minimal regulatory environment. When there are charters, air taxi, or air carrier flights, it becomes increasingly government regulated.
And no you really can't ban the sovereign.