I think it's obvious that Elon Musk is a right-Libertarian, not a conservative. That if anything makes him even more hated. Carlson seems quite conservative, certainly by European standards. Conservatives & Right-Libertarians tend to be on the same side currently because of massive Leftist dominance, but in a morally/politically conservative society Libertarians would be chafing under the conservative yoke the way they chafe under the Neo-Marxist yoke today.
Trump was a socially liberal 1980s Democrat, which made him a hard-Right boogeyman in today's bizarro world US political/moral system.