Originally Posted by Literature
Actually, there are a number of laws that lead to contradictory results at the state and federal level. Often, federal legislation will include a provision that says something that indicates laws to the contrary at the state level will be preempted by the supremacy clause. Or, conversely, the federal legislation will defer to state law.
The supremacy clause only applies where the Constitution has authority though. So no. Not that the left won't try to butcher the document in some way—again. Remember real ID was nullified too.