You want wealth inequality to get better? You need to increase the value of labor. You do that by eliminating free trade deals, bringing production back to the west, increasing prices on goods, and severely limiting immigration. Do that, and the value of labor will soar.

A measure that is never taught is teaching kids about how to pursue their own self-interest in the market. Everyone should know that they live in a system that incentivizes bosses to sweet-talk you while they underpay you, that offering too much to your company without clear effort-reward incentives is usually pointless, that if you're a worker you can and should be unionized, how can an union actually pressure companies to give in to their demands.

I live in a country where unions receive a lot of support from the government, but barely anyone ever engages in syndicalist action.