A long term reduction in poverty and a more balanced relative income ratios has to come through self-sustainable economic development in the middle, and upward mobility from the bottom. Wealth transfer is just a temporary fix, an initial boost - but it is not an adequate endgame... as many pure socialist countries quickly learned after the glow of the early days wore off. Redistribution as a primary policy is also increasingly difficult to pull off via central policy, given global marketplace, technology's impact on finance, and the growth of countries which act as tax havens.
There is plenty of indifference in practice towards legitimately taxing the wealthy but it's been a hot topic globally for a while now and I fear this obsession has been a large distraction from figuring out how to help the middle/bottom develop their own jobs and businesses. To push up their wages and salaries as the primary goal, not just increasing the tax base for better government services and reduced tax burden on the middle.