Earlier quoted context omitted.
It's probably best to name political ideologies for the ideal they believe in rather than whatever criticism their opponents hold for those ideas. Conservatives want to conserve the status quo. Progressives want to see society progress. Liberals want liberty. Authoritarians want strong authority. "Social justice ideologists" doesn't roll off the tongue, but it does a decent job of conveying who we are talking about.
> Progressives want to see society progress. No, they want to see it change. Not all change is progress.
Changing society back to 1950's and 1860's values is what conservatives want, and that's not progress, so your definition is wrong. When progressives finally succeed at canceling slavery and making racism unacceptable in public discourse (at least until Trump came along), conservatives aren't suddenly progressive just because they want to change that. They're fundamentally regressive.