Maybe not actively peddling hate speech but the left is certainly active in interfering with free speech.
As far as I know, people are still free to say what they want? Doesn't mean they don't get any consequences though. Or that other people are forced to give them an ear.
Take Laura Ingraham. She's free to make fun of the Parkland survivors and she did. She's also losing her advertisers as a consequence of being a poor excuse of a human being. Also I would never invite her to come talk to anything I would organize (if I was organizing stuff). Would I be infringing on her free speech then by not giving her a platform? Why would I be obligated to give her a platform?
Taken to an extreme for purely rhetorical purposes: if you get fired, black-balled, and publicly shamed for voicing any opinion, then do you live in a society with freedom of speech?
https://en.wikipedia.org/wiki/On_Liberty#Of_the_liberty_of_t...
And there aren't many liberals willing to censor people for controversial opinions presented in a self-aware, carefully worded, and relevant manner abounding in due consideration for the facts. They do censor people who like to peddle propaganda and wave their victimhood around like pariahs.