> "I doubt it's possible for the news to be truly non-ideological for this, and many other, reasons."

It's more straightforward than you might think, you just have to give airtime to conflicting views, and make sure discussion of news stories are conducted respectfully.

I understand what you're saying about it being possible to show bias just by what news stories you choose to cover, but inviting on dissenting voices helps tackle that issue. If you expect intelligent debate from your news sources, you'll spot it when it's absent.