It sounds good in theory, although I also think that if humans were willing and able to do this, they would have done so already. As for the schools, most of the schools in America at least teach basic principles such as equal rights and justice for all. However, when it comes to actually practicing those principles, our society invariably falls short of the ideal.
It would appear that "teaching it" is simply not enough to get the job done.
"Equality" is also a complicated subject. When discussed in the context of US politics, it often refers to "equality before the law," but not equality in all things. It's often said that "equal rights do not produce equal outcomes," and this has become a commonly-accepted axiom in the US political culture. My own interpretation of equality is within the framework of universal human rights, which isn't really taught to the same degree as the US Constitution, Bill of Rights, or Declaration of Independence.
Telling young people we are all equal, and then the students look around within their own country and then around the world, will not see things jive. Equal would seem to suggest that we are all clones but what we see will be variety. On the other hand, If equal is taught as meaning having the same rights and the same set of rules, with each person using that level playing field to the best of their ability, then things make more sense in terms of the talk and the walk. This accounts for differences but still seems fair.
The analogy is sports, where there are one set of rules in each sport, often with referees, who make sure there are equality in the rules for all. There is no preferential treatment or cheating for one class. After the level playing field is established, it is now about talent and hard work with some teams and individuals being better or worse than others. It allows for individuality which is what we will see. It connects rationality but offers hope of outcome.
It is when you add more than one set of rules, that a class system appears, and cheating is able to come before talent and hard work, resulting in loss of equity no matter how you look at it. Things like Affirmation Action and now the cheat clone called DEI, which simply renames affirmation action, to cheat the supreme court ruling; technicality, to reinstate two sets of rules, so inequity can form from all sides.
The sports metaphor is easy for children to understand and terms of both ways. If there are more one set of rules play becomes awkward and less spontaneous, since many become inhibited trying to be good by the bad rules; monarchy and peasants.
If you look at the American and world economy, one can see what happens with there were two sets of rules in the free market in the consumer sport called energy. Green energy got to cheat, while fossil fuel was given even harder rules to follow. Rather than have a free market that allows full expression of both companies; one set of rules for all, the Left added a second set of rules and everyone suffered with higher prices except the cheaters. In this case politics screwed up free market rules of equity for the consumers. But in the end, hard work and talent resulted in fossil fuel compensating and green energy with all its cheats not making it to the finish line; resting on the laurels of cheating as gas prices fell. Secular enforces the rules. Religions can only give guidelines in most countries. Secular power is usually the problem.