They say x, ask for where they heard about x. They say from y news organization, ask the source for y. If they say z, if z is actually an actual document or otherwise, ask them where in z does y claim x is true.
If z is just another news organization, keep going until they provide (or don't provide) an actual document. If they can't procure an actual document, send it yourself. If z is just another video cIip, ask them for the whole video. Provide them the entire video if they can't.
Do not try to antagonize. Just simply ask the questions as if you were trying to understand their point of view, to learn something we might not have heard.
My experience is different. Most of the "uneducated" I know sniffed out that something was goofy with the narrative. But I know truly brilliant people who fell for the crap. Here's what they all have in common: big egos, arrogance.
It's the old adage: pride goeth before a fall.