I'm not so sure.

Most people are authoritarian, since most people want a legal system and sufficient enforcement to ensure behaviour they believe to be immoral is disincentivised.

I am too, reluctantly. I'd be in favour of anarchism if I thought humans were ready for it. We're not, so I support a system of authority that protects people from violence.

Egalitarianism is the belief all humans are equal. Does anyone really think this? We like to think we believe it because we all like to think we're good people, but who here thinks Donald Trump is their equal? How about OJ Simpson? Some guy rotting in prison for murder?

Nobody who passes moral judgement on others is egalitarian.