Along with their federal reserve obligations, as state militia units the elements of the Tennessee ANG are subject to being activated by order of the Governor to provide protection of life and property, and preserve peace, order and public safety. State missions include disaster relief in times of earthquakes, hurricanes, floods and forest fires, search and rescue, protection of vital public services, and support to civil defense.
My fantasy would be an F-16 scrambled to intercept, and escort them to an airfield, where they are arrested. Just a fantasy though.
TN Air National Guard is out of Knoxville. I don't know the protocol though. Who would command this unit? Is it state or federal?
EDIT: From the wiki https://en.wikipedia.org/wiki/Tennessee_Air_National_Guard