(And I know that's what you're advocating from a different comment you just made about the New Deal.)
In a free market, the best allocators of resources are rewarded with more resources to continue allocating; the worse allocators are punished by losing their capacity to allocate. This is called capitalism.
Contrast that to a system where goverment eliminates inequality: Government allocates resources, meaning the worst people, people who are best at graft and pull, are rewarded. This is a disaster. We can already see this happening in the US. One egregious offender is the Dept. of Homeland Security which is siphoning off more and more national resources and growing like a cancer. The university system (which is in reality Federally managed) is an egregious offender. The medical system (which is Federally managed but run for profit through graft) is an egregious offender.
The latter system---the system of "government management," where the government doesn't let people receive unequal rewards for unequal success---is a path straight to the butcher's block.