Jefferson County sheriff's deputies in trouble after trying to serve warrant

Not necessarily. There are many calling themselves departments including some in Kentucky like http://www.pulaskisheriff.com/

He does answer to someone, namely the Metro Council, the state legislature and the voters. The only constituional office is his, and the rest of the Sheriffs Office could be disbanded if the Metro Council decided not to give them any money to operate it. Thats highly unlkely but thats what they did with Constables.