Your premise is wrong, they do have the right to own that land, they do own it, and they have the rights as property owners to manage it. Those facts are well established and have been a fundamental aspect of these United States since before the Constitution was adopted and were certainly permitted by the Constitution.
Pratt’s point on federal law enforcement jurisdiction is a valid one. Most property owners do not have the right to operate their own law enforcement establishment, so it’s a legitimate question of how the federal government in the past 80 years or so suddenly decided that they could do it.
When a territory becomes a state the Feds are supposed to surrender all, yes all land to the state. Keep watching the videos and learn why.