Say what? That's about as unbelievable a statement as I have ever heard.
The author's view is, I believe, that the media constitute a group of like-minded people who are impelled to "do the right thing"...as they see it.
A "conspiracy" connotes plotting and scheming to "do the wrong thing". So far as the media is concerned, though, they are not conspiring, they are simply doing -- each in their own way -- what civic-minded people should be doing.
As if they were all Kiwanians building a ballpark for underprivileged children...
Personally, I believe this interpretation might be giving the media elite too much credit, but it's a valid construction.