Speaking frankly, I can kind of speak to the oddness of the reactions-having once lived within an hour of a couple of air bases and an Army base with an aviation detachment in at least 3 of the four cardinal directions (this was Texas, plenty of military bases) two hours up the road (plus another one on the far side of the state). This was several years ago now, before 9/11.
Now personally, I figured it would be normal seeing military birds flying over head en route to one of the three bases, like I said, we were within two hours drive to one of three installations, by air probably even less.
Evidently the rest of the township at the municipal airport I was working at thought otherwise-and didn't find it so 'normal'. "Jade helm" (speaking of post 9/11 'events') went from a painfully reported news story for three straight weeks to a bit of a joke in our office, but before that nothing could stop people from phoning my desk at general aviation to ask if we were under attack or what business the military has flying over civilian airspace.
"Sir", I would say (or ma'am if appropriate), "we're one hour from Lackland AFB in San Antonio, this is normal aviation activity, those boys are probably just finishing some training and heading back to base for some R&R".
Would wager....15 calls a day, more on the weekends if the hornets were practicing for a flyover of DKR up in Austin for a Texas football game.
Edit:
I completely forgot, the calls got to the point where we had a dedicated phone line installed just so people could call in and get ATIS-ish type information from general aviation-and one of the pre-recorded bulletins, I think the very first thing callers hear was "General aviation does not intercept, record, or log the presence of military aircraft in the airspace immediately surrounding New Braunfels Regional Airport"
They ended up disconnecting that line after a few years. People would figure out another number with a human respondent and badger them instead until one of our hangars started getting phone calls wanting to be transferred to the tower.