You've noticed that other people's narratives/beliefs are internally inconsistent.

Perhaps you haven't noticed that this technique can be applied to your own narratives/beliefs? Because your beliefs are inconsistent too.

Everybody's beliefs are inconsistent - it's a systemic issue. We know about it. The root cause is the fact that language is recursive and it succumbs to Russel's paradox/liar's paradox.

Philosophers have been using inconsistency as a crutch for guilting people into changing their minds for... ever.

  Do I contradict myself? Very well, then I contradict myself, I am large, I contain multitudes. --Walt Whitman