You are not correct. The States and local jurisdictions are subject to Federal laws and the Federal courts. The Federal courts have the authority to invalidate state and local laws which violate the Constitution. This Constitution, and the Laws of the United States which shall be made in Pursuance thereof; and all Treaties made, or which shall be made, under the Authority of the United States, shall be the supreme Law of the Land; and the Judges in every State shall be bound thereby, any Thing in the Constitution or Laws of any State to the Contrary notwithstanding. Article VI, US Cont.