What to do with it is to act understanding and empathetic with people like that instead of standoffish and hostile. You still insist on the better way of doing things, but there’s no actual need to attack anyone that doesn’t support the better way of doing things, even if their reasons aren’t rational or even morally questionable/bad. It only serves to further entrench them in their positions, while the opposite might have a chance to happen in a more cooperative approach.
No one said at all that AI used “reason” to talk people out of a conspiracy theory. In fact I would assume it’s incredibly unlikely since AI in general is not reasonable.