I lived in communism for 19 years. It wasn't nice. It was - gently put - a failed experiment. That's probably the reason I cringe whenever I hear anything about "guaranteeing" some income to everybody.
What you're saying, basically, is that you will allocate the production means based on merit, but then you will allocate the resulted production evenly? Or you will allocate a "minimum survival kit"?
My life experience tells me that the problems are not there, but deep down, at the core of the human being. Greed is a problem. Lack of compassion is a problem. If there's an economic system that can fix that, I'd be very curious to try it out.
RE: Property rights and Basic Income - A viable solution is possible