Should the South Korean government shut down Internet web portals that foment political extremism?

It's been pretty much confirmed through extensive studies that one of the key factors that is driving political and societal polarization is the rise of the internet. Certain people subscribe to online communities that (they believe) share their values, and this slowly but surely traps people in their own echo chamber which delivers information that confirms their own biases through either other similar users or the algorhithm. This phenomenon breeds political extremism.

South Korea is one of the most advanced countries in the world when it comes to digital technology. Practially everyone has a smartphone now, and with it—unfiltered access to the world wide web. But in my opinion, this has been both a blessing AND a curse. Easier access to the internet (especially at a young age) means people are more easily exposed to online political extremism and hatred. And to be honest, I speculate this to be the reason why South Korea's political climate has been growing worse and worse over time.

So, should the government, despite potentially being a violation of freedom of speech, step in to shut down these online web portals that's dividing the country into chaos? What do you guys think?