Sure, but those are just paranoid people in the population. We're talking about the world population finding out if aliens are in fact real.

I guess it depends on which kind of aliens they turn out to be. Its one thing to have aliens come down from the sky in their space ships, but that's say for example they are inter-dimensional, that's going to cause a lot of paranoia when people realize they aren't "safe" inside their own homes. People will be jumping at shadows, feel like they are being watched.