It would not be a problem to let the conspiracy theory people or ultra-left, ultra-right people speak freely if an average person would have healthy mechanism to counter the disinformation. Unfortunately those mechanisms were dismantled by the classical media in an conscious effort in the last 7+ decades.
Face it - the average person is taught how he should think not by the educational system, but by the media. Our current predicament is only due to information centers hoarding power that they should never get. Not saying that the educational system is great, I think it's even worse to some degree, but we have given up the control for convenience.
Instead of creating a basis from science, we created a system in which the buzzwords spat out from "journalists" mouths are underlying the whole social discourse.
We cannot get the balance in the "new media" right, because now everybody is granted the power that no one should have in the first place. We are trying to optimize the wrong parameters.