It wouldn't be a coup, and I don't think this statute authorizes arrest. (correct me if wrong) I don't know Florida's constitution but if it's as inexplicit as the US constitution, there's nothing that says the other branches have to do what the judiciary says. They can interpret the law as they choose. They only follow the courts as a matter of custom. However there are a lot of state constitutions that explicitly define those roles, so it's possible ignoring the court would be illegal there. In that case, when an executive or legislature violates the law, impeachment is the only possible punishment, which only the legislature can invoke. They would probably be sued by the feds for "civil rights violations" too.
Can a state ignore this and just arrest people, or would that constitute a coup?
It wouldn't be a coup, and I don't think this statute authorizes arrest. (correct me if wrong) I don't know Florida's constitution but if it's as inexplicit as the US constitution, there's nothing that says the other branches have to do what the judiciary says. They can interpret the law as they choose. They only follow the courts as a matter of custom. However there are a lot of state constitutions that explicitly define those roles, so it's possible ignoring the court would be illegal there. In that case, when an executive or legislature violates the law, impeachment is the only possible punishment, which only the legislature can invoke. They would probably be sued by the feds for "civil rights violations" too.
TLDR Yes and no.
Seems like they would, yes, because Florida is just built different.
You forget the Greeks and Scots.