When I date people, I don't allow myself to go forward without completing a mutual background check. I ask questions and talk about politics, tell about situations I've encountered and listen attentively.
I want to know about the other person's world views, decision-making and problem-solving methods - and to inform them about my own. I want to know how they tell apart truth from a lie, what they think about state and centralization, wealth and poverty, science and religion, civil rights and minorities - and to inform them about what I think, so they could make informed decisions.
Ironically, I don't wish to know what party they vote for - because the selection is shitty and I laugh about my own past choices. :)
Recalling situations where world views mismatched - I've had to part ways with one person because she was too spiritual. Two people subscribed to odd conspiracy theories. One person's goals in life warned me about excessive self-interest and lack of care about others.
P.S.
Trying to switch perspective and step into the shoes of a woman, I think it can be a warning sign if the other person gives excessive gifts or feels "obligated to take care" - one should inquire about the reason. I would also be wary of people who eagerly accept me as the new centerpoint of their life - it might indicate an obsessive tendency and severe symptoms if the relation should break. If the other person exhibited jealousy about friends or controlling behaviour, that would be a definite warning sign to me.
P.P.S.
As for social media, yes, it can corrupt people's perception of reality. How to pull them out of the bog, no idea. As for how to avoid them getting there: no algorithmically steered social media.