There is nothing we can do, whether you like it or not that is the way the world works and if anything bitcoin could make those differences even bigger as there is no way to take away your bitcoin legally without your permission, the real issue is what can be done to improve the life of the people living in poverty and that can only be done by the use and the advancement of our technology so it comes to the point it is dirt cheap and it can be given away for free or for a very low price.
Cryptocurrencies can make major changes. There are cryptocurrencies that have a fair distribution mechanism, ETN, PHT, and many others. You can mine them on your mobile phone. If you wish more you can mine from your computer, you can upgrade your computer and mine more. We don't need to depend on the current system anymore, there are alternatives for all of us.
But that is the issue, I have never heard of those coins but even if you are right about them, do you realize the huge barriers to entry just to mine those coins for the poor? They need a computer or a smart phone, they need a stable Internet connection and electricity, it may not seem like much to you but how many people do not have access to those 3 factors? Billions? This is why I say that the issue of the inequality in the distribution of wealth is not easy to solve.