There's part of the Right which is against free speech too. Has been for decades. All those campaigns against "immoral" literature, movies, music, television. The "Watch what you say" Bush Administration. The Republican-led state governments who prevent their own scientists from talking about climate change. The right-wing religious colleges which police not only what is said and done on campus, but also heavily regulate off-campus behavior as well. Even the heavy censorship and downvoting in online right wing communities and subreddits. Why these groups get a free pass from many people who yell at the left about free speech, I'll never understand.

Maybe the response will be something along the lines of "The Right is so big and covers so many people you can't blame all of them." But you could say the same about the Left. Covers many, many ideologies and sub-ideologies.