The police are SUPPOSED to be in Jeb's court, not the other way around. The fact that Greer is telling the police to obey him and not their boss indicates something is very, very wrong. No, there should not be a shoot out. What should be happening is that the Governor puts forth an executive order, expecting his own police department to back him, and then he goes in and does what he has to do. If the police are NOT in the Governor's court, then I'd say military action is needed.
The law tells the Police what to do and right now, Judge Greer has made a ruling and he is the law. Please do not flame me. I don't like it any better than you.