Please give specific examples of this happening :

"MAGAs preach “free speech for me, not for thee”, silencing everything from the other side."

There's a difference between Free Speech and Calls to Violence and Blatant Lies. Most recently Jimmy Kimmel was taken off air not by the Right but by Disney. Partly for his lies but mostly because his ratings were worse than Colberts. They also have a Broadcasting License which has strict rules on Blatant Misinformation because the airwaves are public.