News sources that don't get described as "anti-Israel and Anti-Russia" are almost certainly untrustworthy. The question is whether they also are willing to cover the west negatively where appropriate too.

Haaretz and Moscow Times often post stories critical of their governments' actions. I know it's easier to make blanket statements to form an effective filter in the modern deluge of information, but it's not enough. I guess there are worse optimizations to make.

Sure. Like Saudi Arabia, Arab Emirates and Ukraine. When all of those have negative stories about them I'm sold.

RT is anti AJ and BBC, and you can see Chomsky there.