As a retired Security Forces member (USAF Military Police), the Air Force, at least at a majority of installations, *currently* does not have the authority to "bring down" or remote connect into your consumer drone.
Does that mean they don't have the capability? Do you want to test that theory and get a federal charge of trespassing into restricted or a controlled area? More power to ya!
To my knowledge and experience so far, unless you use a modded program or drone, you will be unable to launch in a NFZ, especially one that contains a military installation or restricted area.
I would honestly not try to push your luck with flying over or near a military base. You'll just make it worse for the recreational community..