You probably don't have a fundamentally authoritarian mindset. Being authoritarian in parenting is correlated to authoritarian politics:

[Prof. Jonathan Weiler] told me that the study of authoritarianism is several decades long and, interestingly, that over time the way social scientists identified authoritarianism evolved to asking questions about parenting. He said, “What makes these questions interesting is that they are not really about parenting, they are more about people’s idealized understanding of social order or social hierarchy. Asking about parenting is more a way to get people to think about this.”

Remember this when you see flyers or such that say "the government is trying to take away your parental right to decide what your child reads or learns". It's wrapped in the language of Freedom(tm), but the end goal is to tightly control what their child is allowed to do.

Fascism begins at home.