I am fully in the "you are a citizen before a homo economicus" camp, but don't actually want to make this an object level discussion about education. Two things:
- A social assertion can be sound and consistent with facts while missing the bigger picture. This means people should tackle it and learn from it, at least on the intellectual discussion level, and not try to bury it.
- Dismissing attempts to get things like formal logic and statistics into politics because it's all "ideologically motivated" is nihilist. Where the methods are sound and applied honestly, they can improve discourse (as a more disciplined kind of argumentation), unless you think you are a genius that perfectly knows how to improve society thanks to casual thinking and social proof.
To be fair, these attempts usually are ruined by ideology, but this is because the attempters ultimately choose ideology and are willing to compromise discipline. To go way back, see the "Specimen demonstrationis politicarum" by the great philosopher G.W. Leibniz, where he promises to mathematically solve the current election of the king of Poland and arrives at the conclusion predictable from knowing who was paying him.