The Preamble to the BoR does ~not~ specifically limit them to the Federal government.
It specifically says that when ratified, they will be -- "part of said Constitution;" -- which is the supreme Law of the Land. -- The "laws of any State to the Contrary notwithstanding."
The clauses were not added to state Constitutions, they limited the Federal Constitution. The framers understood it to be so, as did the courts.