Yes, they do. Here is Article VI of the United States Constitution, often referred to as the Supremacy Clause.
"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."
Federal judges don't often get involved in state law issues unless the state law contravenes the Constitution or federal law. This isn't new, but has been going on since the Founding.
Only the SCOTUS has jurisdiction when the United States (DOJ) files suit agains’t a state.
When these Federal judges jump in and try to stay voting laws or immigration laws from being put into action until it is heard by the Supremes they are out of their jurisdiction. Over time the states have allowed themselves to be buffaloed. Everything has gotten murky. States must re-establish their sovereignty.
Even after the SCOTUS ruled that the voter ID law was constitutional the DOJ still tried to block GA from instituting it with yet another suit. Our gov should have just said no and gone ahead with it. Jan Brewer should have done the same thing in AZ over their immigration law.
What these Governors need to do is start telling these liberal activist Federal judges “see you at the Supremes.”