I'm sure this is the right idea to invite people to volunteer for checking information, but this creates needs to build some kind of rating or double-checking system for volunteers too (something like Wikipedia authors/moderation system).
About fact-checking. I think this feature contains two big parts: 1) extract a fact from the text 2) to check a fact
For 1s task on the basic level and numeric data, it seems not so difficult with NLP (just tried to create a tree and it looks pretty simple: https://nbviewer.jupyter.org/github/SerafimPikalov/Sandbox/b...)
For 2nd task probably needs to create some kind of "fact-tree" (something like Word population>USA population>target audience for service potential audience...)
