I would like to add that the idea of equality = sameness is a definition that comes from a synthetic rather than an organic view of society. Understanding the organic processes that govern the various forms of human organization, from simple relationships, to families, to other groupings and institutions would go a long way to solving the mystery of the principle of equality.
In fact sameness in an organic system is impossible, while equality is necessary to its health and survival.
When I consider spiritual qualities like empathy, compassion, sacrifice, justice, love, reciprocity, responsibility, right, respect I have no problem admitting that we are part of an organic system in which we are connected through fundamental forces.
Equality fits into the same category of principles that we are learning to realize.