Yep. These are Constitutional elected offices in that state and the many counties. They got a duty and a right to make sure this could, would, or would not pass constitutional muster before they start enforcing. This should automatically trigger a court challenge, by their action. It is one of those states, where hard to predict, but I would suppose the challenge would be in Federal, not state court.
They do not determine what laws they will follow. They enforce it until the courts rule otherwise. Why shouldn't private citizens be allowed to chose what laws they will obey.