So it's not about a compromise between truth and lies; it's about getting viewpoints from different perspectives
Well, it is a compromise between truth and lies if you choose to include news outlets that clearly and obviously have no regard for the truth and that's one of the problems here. (It's not as if the right doesn't have honest media either, why is it everyone says "Well, I read Brietbart and watch CNN to get a rounded picture"? Brietbart are liars. What about NewsMax? They're not perfect but I've yet to come across them actually lie about anything. I can understand not entirely trusting the Washington Times because of the Moonie connection but they're not Brietbart either.)
The other problem is the "both sides" narrative doesn't work with the current media. Right wingers keep claiming NBC, CNN, The Washington Post, et al, are "left wing". Those of us on the left just don't see it. When did any of those outlets support and campaign for, say, Single Payer healthcare? Weren't they all cheering for war after 9/11 or was that my imagination? Haven't all three spent most of the last few months doing thinkpieces on "What Trump supporters think about Trump", rather than trying to gauge the viewpoints of those most directly affected by his policies or rhetoric? For eight years, Meet the Press always made a point to include a major Republican on every show, and relatively rarely included a Democratic (let alone Liberal!) voice.
Sure, Trump is pissed at them, and they report a lot of news that's bad for Trump, but is that because they're "left wing", or is it because there's a lot of negative things about Trump right now?
I know, I know, people on the right think that the media is left wing, therefore ergo it must be and it must be that to get both sides you need to watch both. But, honestly, I don't recognize the morality and social awareness of the mainstream media. When the Washington Post starts arguing against wars, when it comes out as supporting single payer or government health care instead of half-witted hacks designed to not upset free market ideologues, when it comes out in favor of drugs legalization, when it admits that the forced suburbanization program of the 1950s onwards has been a financial and economic, moral, and ecological disaster and campaigns for urban renewal and improved transit, when it supports an expansion of welfare, when it supports the right to unionize across all industries, when it doesn't treat racial and sexual disparities as "He said, she said", THEN I and others on the left-of-center might reasonably think of it as a paper that's in touch with my views and my agenda.
Simply thinking the current President is terrible does not make you the counter to the right wing media. Hell, the intelligent side of the right thinks he's a moron too, they just don't say it in public.