>>17980530 (OP)
right wing = virtue ethics, striving for excellence, people are fundamentally different along several axes, thus treating them differently is justified, by extension hierarchies are good and natural at least insofar they reflect merit, the fundamental social unit is the family headed by the father, eugenics are the best way to shape the future
left wing = slave morality, striving for equality, people are fundamentally equal among the axes that matter, thus treating them differently is unjust, hierarchies result from oppression and are only good insofar they help dismantle those same systems of oppression, the fundamental social unit is the atomized individual, social engineering is the best way to shape the future
Obviously some schools of thought won't fit neatly, valuing excellence over equality in some domains but not in others. Still it is easy to see where the chips fall for most people and movements. Statist vs anarchist is a red herring. The state is but a social technology which can serve different values and masters, which it has. Excellence vs equality is the true line in the sand.