Why Rush is right-wing. I agree with what you say, and would like to add a difference.

The left-wing tolerates a wide range of folks and agendae. It does not insist that everyone under their umbrella agree with everything they believe in.

The right-wing expects everyone to have exactly the same agenda. Just like the Brown Shirts of pre-WWII Germany, they do not tolerate any straying from the party line. That makes it easier for them to see plots and enemies, and therefore easier to support a Limbaugh.

A liberal with a fixed view couldn't attract an audience of mindless admirers, let alone a crowd which is proud of being a "dittohead". Sort of disgusts liberals.