OK... Let's just burst your anti-government bubble there..
They need to ask permission because the FAA specifically banned such behavior last month.
Gone are the days, when pursuit of happiness was understood as a natural right granted to each human being not by their government, but by the Creator.
To start with, you are confusing your documents. The quote you give is from the Declaration of Independence not the Constitution which is the document establishing our government. Next, you assume that there is a "Creator". All I got to say is show me. Lastly, your rights end where others rights begin. It would be pure anarchy otherwise as I will demonstrate below.
Today one must get a permission to drive a car, carry a weapon, perform in costume [LINK OMITTED], or, indeed, to fly a drone.
Drive a car: So in your world you would allow everyone, regardless of demonstrated ability to do so, drive a car on public roads? Sounds like a plan to me... A plan for death and mayhem that is. Besides, this is State government not Federal requiring the license. If you had actually read the Constitution, you would know that States have far more power to regulate than the Feds.
Carry a weapon: Again in your world, convicted violent offenders should be allowed weapons even while they are in prison for murder? I also bet you believe that you should also be allowed nuclear weapons too right?
Perform in costume: That is a city ordinance. Again, not fed and not even State. I am sure NYC has a reason for that ordinance, take it up with them.
Fly a drone: There have been many instances where these drones have caused passenger airliners to almost crash. The more they are allowed, the higher the probability will become that one will cause a crash. One can only hope you are on the plane that crashes because of it. Again, your rights end where others begin. That is the job of these agencies. They oversee the public spaces such as airspace.
And finally, may I make a suggestion? If you really, really want less government, then move to Somalia. I am sure they will welcome you with open arms (pun intended).