*shrug* the smart move would be for the military to play into the joke. Set a designated "break in" point, arrange a Mud Run obstacle course type race, put up funny alien decorations at the end with a party type event. I would think they could figure out crowd control and how to keep people out of actual sensitive or dangerous areas. Give the curiosity seekers and wacko's a distraction so they won't come up with anymore of their own ideas.
Hell, they could even use it to raise money for charity or something, not to mention the recruitment opportunity.