All claim fake media, no matter what side of any position anyone stands. This is the polarisation of market segments. No matter where one stands they are right and the other is wrong. There is no concession between points, no charity and very few willing to engage in true discourse.
The polarization you're talking about is a real thing. You're right about that. Partly, the alt-right phenomenon is the result of progressives and cultural leftists resorting to underhanded tactics. The silencing of professors at universities and crowds of hecklers disturbing lecturers with un-PC opinions is something that we've grow accustomed to hearing about in some American universities. But now that the leading alt-right figure is president in the US, there is an actual anti-intellectual in office who seems to actually want to take measures to silence the critical press.
A free market of ideas is always better than anything else.
It has been a free market of ideas for a long time but, the marketers control the market, just like advertising that directs people into buying decisions. The news media is a product for entertainment purposes where one can choose what show to watch depending on personal preferences. There is no need to be objective if one always feels right.
So, you're saying that different audiences have been effectively siloed to create echo chambers for maximum marketing efficiency. Ok. What do you propose be done about it?