There is a group that is trying to restart the aero club in Naples, it is going slow...
The Aero Clubs are now governed by a BUPERS (not sure why bupers) instruction that explains in pretty good detail how the club must operate. Do a google on "Navy Flying Clubs" to find the bupers website, and download the instruction. I'm not sure if it applies to Marine Corps bases as well. Some basics:
It would be an MWR Class "C" faclity, which means it must be financially self sufficient. Don't expect a big infusion of cash from anyone to get you started. Legally, it can borrow money from another class "C" operation (like the golf course) if the other operation has the cash, you have a business plan, and the loan won't hurt the golf course.
The base CO has to supervise the flying club, assign an active duty guy to be the Safety Officer, a couple other active duty guys to supervise the ops, etc. His support is essential.
The MWR director has to run the club, so get him on board with the idea.
The club must have a paid MWR employee as manager (not sure of title). This can be a part-time employee.
I think Whidbey, Pax, and North Island all have active clubs with websites. Some of them have their bylaws on the web. Check them out, but be aware these clubs all pre-date the BUPERS instruction.