There are two types of federal properties, those owned outright and those that are leased. The second type are often referred to as federal reserves. On the reserves, the states maintain jurisdiction unless surrendered as part of the lease agreement. On federally owned land, the feds have exclusive rights but may allow the state to takes some actions. If you want to subpoena (sp?) someone on federal land, it must be served by a federal marshall. I spend a short period as the first sergeant in the Air Force and learned about this first hand.
Hill AFB is federally owned as far as I remember. The state regulations have no bearing on activities inside the fence. There are also special rules for federal agents working on federal projects that immunizes them from state regulations. This varies from department to department based on the laws and regulations for each.