There is no way for the openly distributed monetary system to fix inequality of wealth distribution.
How can you prevent already rich people from buying more coins - there is no way for us to enforce that kind of regulation.
It's true that Bitcoin at the beginning was dirt cheap, some lucky people are not extremely rich, but that doesn't help solve inequality problem.
It's hard to create a balance in the economy of the people. Wealth is not distributed fairly in the world. This is known by everyone. Changing this can be possible with blockchain method and cryptocurrency usage. We will see what's gonna happen soon.