We've just started an on-base car club where I work and after a couple of car shows we are attempting to do some "dynamic" events, starting with an autocross.
Active military bases have been used for racing for years - I know there used to be SCCA events at NA Oceana and Point Mugu for instance. The big vintage event at Coronado really doesn't count because that thing is just turned over to a promoter who handles all the stuff with the navy.
I'm trying to find people who have actively organized such things in the past and have examples of the documentation they were asked to produce. You can't rely on the military side because they turn over every couple of years and the corporate memory goes with.