Please, do tell, what part of the Constitution grants the feds claim to lands within the several states, for any purpose.
The property clause, which has been upheld by the courts.
The Congress shall have the power to dispose of and make all needful Rules and Regulations respecting the Territory or other Property belonging to the United States.
Article I, Section 8: "To exercise exclusive legislation in all cases whatsoever, over such District (not exceeding ten miles square) as may, by cession of particular states, and the acceptance of Congress, become the seat of the government of the United States, and to exercise like authority over all places purchased by the consent of the legislature of the state in which the same shall be, for the erection of forts, magazines, arsenals, dockyards, and other needful buildings;"
And ArticleIV, Section 3: "The Congress shall have power to dispose of and make all needful rules and regulations respecting the territory or other property belonging to the United States; and nothing in this Constitution shall be so construed as to prejudice any claims of the United States, or of any particular state."