Inequality is bad because political power is correlated to wealth. As soon as we switch to a political system where Charles Koch has the same political power as the minimum wage janitor working in his office, I will stop fighting economic inequality.
I think your goal is impossible. Even in soviet union that wasn't the case. The best specialists (let's say top surgeons) will always have more influence. If you know that your survivability rate is 50% higher at one surgeon hands than the rest - won't you pay/do whatever you can to survive?
