Comment by Amezarak
Your country is being 'destabilized' by your own government refusing to address popular concerns. No amount of bad speech can make people extremist on its own. Instead of addressing the underlying issues causing societal destabilization, just as countless failed governments have before, your government is focused on doubling down and making people shut up about it.
Yes, a lot of these people are bigots or cranks. But people living in well-run countries don't listen to bigots and cranks. They aren't a problem. People start listening to bigots and cranks when nobody else will listen to them. Instead of curing the disease you're treating the symptoms. Silencing people to maintain public order and harmony is the siren song of every failing authoritarian government there's ever been.