It's been tried before. What happens when the working class rises and takes what's theirs is that after some time, a new elite emerges thanks to this working class, pretending to have the same values, while actually screwing this very same class even more.

The crucial distinction to make here is what's yours and what's not. If people agree that one billionaire made his money honestly, by creating companies where people work voluntarily and that provide products and services people really need, thus actually creating value - then there can be no justification for anyone to go and take part or all of this billionaire's money. If they agree he stole his money or extracted them by force, then he's a criminal and all of the money he made in this way should be confiscated. But there's no middle ground here. You can't make a person kinda-guilty because he's rich.

But back to "might makes right". The collective might of the people is always greater than the might of any organization, be it government or a corporation. If people understood the distinction of two ways to get rich I described above, they could easily support protection agencies that would prosecute criminals, but leave alone and protect rich people who made their money honestly. This kind of arrangement would promote a greater degree of equality. And we've seen this historically too: the great rises in standards of living for the poor happened where markets flourished and regulations were minimal (scandinavian countries including, read their policies throughout the 20th century). Yes, rich people became richer. But so did the poor.