Well, sorry but I think you're seeing this wrong. Google can mute whoever they want to mute because it's their platform. It's not a free speech issue, the guy can still say this nasty stuff out loud as he pleases without getting thrown into prison or getting sued, but Google HAS THE RIGHT to deny him its platform. It's not an official government website or anything, but a private corporation so it's THEIR rules.
f.i. when some asshole comes crashing into your house spitting hate about how your girlfriend is ugly he basically has the right to SAY these things, but you can still kick him out or call the cops because he did it on YOUR ground.
It's the same thing with this racist bakery guy who doesn't want to serve gays.
I don't think anyone is saying it's a first amendment issue or that Google doesn't have the right as a private corporation to attack free speech. Google absolutely does have that right. But the moment any corporation attacks free speech - including Google, Facebook, Reddit, and others - FUCK EVERYTHING ABOUT THEM. I'll use an alternative source wherever possible, and promote those alternative sources growing and competing. Ignoring the speech of others is something that should be done only at the individual level. I don't need or want any other collective telling me what to hear or say.