What is equality other than homogeneity? And how is enforcing equality "from above" (or whatever you want to call it) ever going to work other than "cutting the tall grass" or "hammering down the nail that sticks out"?

The work to improve the bottom of society is about 7 billion times more work than to punish the top, just by numbers. And that is ignoring that shooting someone is a lot easier than the years of mental health help followed by years of training the bottom requires to improve.

To say nothing of the fact that, obviously, a separate class in society needs to be empowered to hammer down those pesky nails ("the KGB"). Which is another way of saying that socialism needs gunpoint-enforced inequality to keep existing. So does capitalism, of course, but since they accept inequality it seems less of a problem. And (mostly democratic/social-) capitalism needs a LOT less violence in practice. I get it, it needs more than zero violence and that sucks. However ...

I would also like to point out that both indigenous primate societies are EXTREMELY hierarchical, frankly nightmarishly hierarchical. Everyone has someone directly in charge of them, and there is someone at the top. There may be groups. There usually are male vs female groups, and a dynamic between them with clear hierarchies in both groups, but not so clear a hierarchy between a given man and a given woman.

Oh and, btw, sex in indigenous human societies is somewhere between prostitution and rape. Meaning sex is either directly transactional (a good meal, as opposed to scraps, for sex), or there is direct use of force. In the most comfortable locations to live women may gather food, in trade for a measure of sexual independence/choice, but that seems to be limited even in the best situations. Furthermore, neighboring human tribes are always at war, and both tribes are growing fast in a limited resource environment: it is a matter of time before they massacre each other (because: preferable to starving to death). Humans may kidnap and rape women from neighboring tribes, or they may massacre them. And yes, when times are really good (halfway between "wars"), they will feed them and return them.

Occasionally a "romeo and juliet" from the same tribe or neighboring tribes may fall in love and run away. If they die, nothing happens, and if they survive, of course, this only results in the creation of a new tribe.

There is NOTHING any human can do in such a primitive human societies that comes anywhere close to delivering the "status and love" that massacring the neighboring tribe during war delivers in terms of status.

Meaning the "love and admiration" essentially translates to violence to get drugs (an orgasm is effectively drugs, after all) for men and prostitution (if they're lucky) for women.

Oh and kids have only one option: scraps, they're abandoned by mothers to mothers can go back to prostitution, as soon as possible. Slightly bigger kids take care of the smaller ones (meaning 6 year olds care for 4 year olds, 4 year olds care for 2 year olds, ...). Occasionally, during very good times, women join the hunt and gain a measure of independence. On the other hand, during bad times everything sucks, there's less sex, and rape is the norm, as are abandoned babies starving to death (they even have "tricks", such as putting a baby, floating, in a river. Probably slowly sinking in the river will cause the kid to lose body heat far faster than it will become hungry, and it will peacefully sleep in and die, before being eaten, and won't cry)

Is this what you mean by "hardwired for equality"? Men are hardwired to fight, using physical violence, for better social position and "love". Women are hardwired to do the same, using less direct means. Also, humans are social animals, and this is nothing special. All social animals have a "total hierarchy", enforced by a form of violence for men, and by accepting transactional and/or forced sex for women. Wolves, gnus, orcas, dolphins ... it doesn't matter. All are variations on this theme.