Cort Ammon suggests that there are situations where you really have no choice but believe someone's warning (e.g. a going of a rifle scope). That's a good example.
The irony is that in time of war, we are ordinarily LESS trustful of people we don't know. For example, we often hear the idea that people should be assumed innocent until proven guilty. But in time of war that's turned upside down, replaced with "Halt! Who goes there?"
In the political arena - which is a pretty big arena - I trust almost no one. I've learned to evaluate and investigate the things I hear or read.
As for the supernatural, that's a loaded word. I don't know what philosophers have to say about the "supernatural," but I'm not a big believer. The natural world is amazing enough, though anyone could have an experience that might be described as "supernatural."
But, again, if we're in the political arena, and I hear a conspiracy theory that involves 1) supernatural entities, or 2) space aliens, I automatically dismiss that theory. (I do believe in "space aliens;" I just don't believe they've ever visited Earth, nor can I imagine why they'd want to replace Democrats or Republicans in tampering with the political system.