How so? The Statue of Liberty is a National Monument and hundreds of thousands of people go there every year.
Nothing in my post said that the states could 'suddenly decide to take over . . ." anything. They formally deliver notice (requiring an act of the State legislature - never a 'sudden' thing) that they no longer consent to the occupation, and then pay compensation (requiring money from the State - never a sudden thing).
It's nice to offer to pay money, but unless the federal government agrees, that is indeed "taking over." Saying that the federal government can't do the things you have been contracted to do by the Congress, the voters, and the Constitution is essentially leaving the union unconstitutionally.
The Constitution is our contract with ourselves and I always look to see what it says, particularly with the view of finding a non-violent way to resolve issues.
The federal government is part of that contract and state governments are bound by the contract.