The fear around borders is different, as with borders, even when everything is working as intended, there is still a constant threat of people who want to cross the border illegally. With a secured border they will try and fail to cross (ideally), without border security, they will cross.

With drones, regulations like these only better outline how law-abiding citizens should act. The threat of terrorism isn't dealt with with regulation like this, it already is very illegal to do anything terrorizing on purpose with a drone, so a regulation about flying at night doesn't protect from that. With the border I mentioned how its an ever present threat, well, with drones it isn't. It can become a major threat if society was less stable perhaps, but as is, not enough people want to commit terrorism via drones for it to be a threat in the public mind.

All this said, it absolutely can become a fear campaign with drones. I can't remember specifics, but I know I've witnessed a handful of incidents where someone was injured at a park or similar location and subsequently got regulation to ban/limit drone use at the park or similar location. Incidents like that would only need to be a bit more numerous and a nationwide anti-drone campaign could work. Even already if it was made a partisan issue, many would pick a side with strong confidence.

The FAA requires airline doors to be secured. Why would you assume that does nothing to stop a domestic terrorist? I can't imagine why you'd even say such a thing.