There is actually no way for any equality to exist, if you really think about it for longer than 20 seconds.
Thinking of entire huge text to say that equality is good is simply like saying "It would be good if everyone had everything he wants" and writing bunch of nonsense to support said claim.
Sure, it would be good if equality existed, but the fact that it cannot possibly ever exist makes it kinda pointless to want.
Like, some people always have better life than others, better brain structure than others...
Thus, if you say that non-equality is bad, you are saying that everything is bad since no two things in the world are equal.
Thus, this logic follows:
Equality = good
Lack of equality = bad
All people = have lack of equality
All people = bad
There is actually no way to solve this problem, because word "equality" can only happen if all people are equal, and since all people will never be equal, all people will always be bad.
Further, equality morality makes every action bad. For example, if you are helping a homeless person, that is bad because you are not helping equally all homeless people that ever existed.
Thus, to make it simple, equality morality is nonsense, because there is no "goal" in it which you can actually realize.