radicalism politically is to be pushing for a change at the root of something
You mean that thing right-wing ideology exists to prevent? There is no such thing as a “right-wing radical” - right-wing ideology exists to protect the status quo and *destroy or co-opt that which advocates “change at the root…”*it has no reason to exist otherwise.
I think it is pretty fair to say OPs mom could fit this.
The paranoid racism displayed by OP’s mom isn’t “radical” - it’s bog-standard right-wing white supremacist colonialist paranoia.
You can again tell by the fact that nobody uninronically considers themselves a reactionary.
They also generally do not self-identify as fascists or white supremacists, and you can easily anger most right-wingers even by just calling them right-wingers - so your point is… what?