They may or may not have drawn guns, but they're not going to just move out of the way. At the very least it would end up in a shoving match between two armed police forces.
Now how could you possibly know that?
That conclusion is based on my knowledge of how county sheriffs operate in this country. They take orders through a chain of command and their job is to follow their orders using pre-established procedures. The county sheriffs would be subject to disciplinary action if they did not follow instructions to enforce the court orders from the state judge. That said, it's impossible to predict exactly what would happen in a confrontation between state and local police. That's the point--a lot of different scenarios are possible and some of them end in violence.