How would they shut them down? They have no power, there is no agency that can enforce it and there is no law on the books that allows the state to fine them, that would fall on the county and city and even then it could be fought, as nothing was passed through legislation to allow it.
In this case, the only power the state has is revoking their alcohol license and that only applies if they sell alcohol, we learned that when restaurants in various parts of the state opened before they were allowed to.