1. Remove the threat (PokeStop) where it is a security risk.
2. Harness the attention for organizational benefit where possible (Add PokeStop to increase museum attendance)
Best of all, this approach stems from some good life/business advice from Rear Admiral Newton, "Life and work are best accomplished if there is good fun, health and friendship."
i wonder (have never played myself) whether the Pokemons can be customized according to location - a restaurant owner would pay for the Pokemons enjoying and cheering the food there while the Pokemons in the military settings like that museum would ride a tank or a plane or shoot some weaponry military ads style.
The closest I've heard of was when the game just came out. There's an item in-game called lures that attract Pokemons to a specific stop. Many restaurant owners were trying to attract customers by consistently buying and applying them, so people could continue to play while eating.
They cost 1$ for like 30 minutes or something like that.
for that you didn't need much vetting and because the popularity was low nobody cared so much. most likely some servicemen (servicepersons?) submitted the spots.