Here are some ideas:
The rich have too much money relative to poor:
Taking money versus eliciting money.
shame, pressure, guilt
persuasion, psychological skill
Change of culture
culture in general
Targeting elite money
used to be stewards of investments
used for personal spending
Revolutions are risky and can lead to worse governments.
Taxation might work better. (Closing tax haven loopholes.) Building political will for higher taxes on wealthy. There are people in the US who don’t want there to be higher taxes on wealthy even though it would materially benefit them (culture change opportunity).
Eliciting could be more effective. Social justice culture (OK with shame, pressure, guilt) has philanthropic charities. (Not exactly aligned with EA.) Guerrilla Foundation, Resource Generation. (Already established. You could donate or join now.)
Eliciting via persuasion or psychological tactics sounds like it would appeal to some people to try to do.
Eliciting via friendship: what if a person, or movement, was very good friends with both rich and poor people? Then they could represent the legitimate interests of both to each other in a trustworthy way. I’m not sure anyone is trying this route. Maybe the Giving Pledge counts?
Change of culture. What are the roots of the altruistic mindset? What would help people have, or prepare people to have, values of altruists (a list of such for EA or EA-compatible people; there could be other lists)? Can this be something that gets “in the water” of culture at large? Can culture at large reach into elite culture, or does there have to be a special intervention to get values into elite culture? This sounds more like a project for a movement or set of movements than for a discrete charity.
Elite people have money that they spend on themselves personally—easy to imagine they could just spend $30,000 a year on themselves and no more, give the balance to charity. But they also have money tied up in investments. Not so easy to ask them to liquidate those investments. If they are still in charge of those investments, then there is an inequality of power, since they can make decisions that affect many people without really understanding the situation of those people. Maybe nationalize industries? But then there can still be an inequality of power between governments and citizens.
If there can be a good flow between citizens and governments, whereby the citizens’ voices are heard by the government, then could there be a similar thing between citizens and unelected elite? Probably somebody needs to be in charge of complex and powerful infrastructure, inevitably leading to potential for inequalities of power. Do the elite have an effective norm of listening to non-elite?
You might also consider the effect of AI and genetic engineering, or other technologies, on the problem of creating a more equal society. AI will either be basically under human control, or not. If it is, the humans who control it will be yet another elite. If it isn’t, then we have to live with whatever society it comes up with. We can hope that maybe AI will enforce norms that we all really want deep down but couldn’t enforce ourselves, like equality.
On the other hand, maybe, given the ability to change our own nature using genetic engineering, we (perhaps with the help of the elite) will choose to no longer care about inequality, only a basic sense of happiness which will be attainable by the emerging status quo.