Most newspapers, television and radio stations, along with the big new sites are controlled by a handful of companies (https://en.wikipedia.org/wiki/Concentration_of_media_ownersh...) that are far from left-leaning.
Rupert Murdoch, as but one example, is the driving force behind Fox News. Is that part of some grand left-wing conspiracy?
The number of left-leaning publications is pretty thin. The Huffington Post, parts of MSNBC, The Daily Show, and a case could be made for The Economist and The Guardian. For every one of those there's a dozen like The Daily Mail or USA Today.
> I'm not sure the SJWs have anything in common with the vast majority of the country...
"SJW" is a strawman pretty much by definition, but those who get slammed as being one are typically in the under 30 crowd which are generally more accepting and understanding of social justice issues. The so-called SJW group has more in common with their generation than "the majority of the country", but that's how things always are.