No they should not
Just because they have more money, doesn't mean anyone has a right to that money, whether it be the government or the poor. We are not a socialist country who takes from the rich to give to the poor. It doesn't work and should not be attempted. We need to redo the tax brackets, remove at least most maybe even all tax breaks, have everyone pay a fair amount and that's it. If you're still poor, well that's your problem. It may sound callous and mean but it's the truth. Your life is your own responsibility. Not anyone elses.