I personally think the concept of logic is unhelpful in a post-truth world.
Lakatos explains this well in his work. Those with different paradigms or worldviews cannot agree on a common rationality because they have literally different worldviews.
This is increasingly true in the post-truth era. There is no common worldview, so therefore no common rationality.
Emotion is a good approach. As is how worldviews are created, e.g. by narrratives.
TEG