Traditional media/publishing can shut up the likes of Clay and Yiannapoulos.  But that kind of thinking will continue to exist and even grow.  Yiannapoulos may disappear from main stream media.  But the kinds of ideas that he has promulgated can still percolate and spread in other ways.  So if people think shutting down such voices will stifle the spread of such ideas I think they are mistaken.  In fact, I think it might have the opposite effect.