I think it'd be fair to call them populist right? I think they couldn't be further from classical conservatism. Chesterton's Fence is a concept that seems foreign to them.
It would be incorrect to call it a "progressive" right movement, because it stands in direct opposition to what progressivism is commonly understood to be. Doing so would be the same kind of category error as calling the Nazis socialists because the word "socialist" is in their name, ignoring the fact that they hated socialists. The Nazis weren't socialist, and Trumpists aren't progressive.
For me it's the difference between someone who has a different opinion on the same facts, as wrong as I may find that opinion (and they mine) -- and a movement that just destroys and creates facts ad-hoc, believes what it wants, and smears and attacks anyone not aligned. It's the difference between someone who disagrees with or even fights me -- and someone who attacks me while they're basically wrestling with the voices in their head, without seeing or hearing me, at all.