I wonder if it's possible to somehow create a "consistency checker" that can check to see what claims are compatible with what other claims. Not a truth checker; that's far too dangerous and easily abused. But a system that just checks for consistency, combined with a "web of trust" where you can see the connections to people with different perspectives who you know are NOT liars/can connect to events you KNOW are true. That might help people trust information from outside of their comfort zone and identify problems with their own outlook.
There's precedent for that kind of a thing in the math world. MetaMath is an example of a system that verifies proofs based on substitution rules alone, plus whatever axioms you add to the system. Natural language news stories that need to correspond to reality are obviously a much different beast, and maybe it's impossible to do something equivalent with knowledge that isn't as rigid/formal as math, but it's tempting to try.
Could easily backfire and make the problem worse if done improperly, though. The risk is that such a system could be taken over/hijacked my ideologically motivated individuals to reinforce their own ideas and hide inconsistencies rather than shine a light on them.