Having lived under a communist regime and also in the ghettos of NYC decades ago, I can tell you just how idiotic this is. But I guess there's no shortage of idiotic ideas when you are playing with other people's money.
I believe the best way to spend the money is to help people who work hard to improve themselves, regardless of their income level. The money is given according to the impact of the money. So people with low income would benefit proportionally more because the before and after difference is larger percentage wise.
Edit: The thing that should redistributed is not wealth, but opportunity.