That's well said (competition vs collaboration), and it gets to the heart of the problem I picked up on here. The neoliberal idea that all life should be competitive is what I've been calling social Darwinism, and it's the essence of "conservatism"/libertarianism.

As you say, the plan isn't terribly coherent because competition is dynamic: there's a start, a middle, and an end, as in a race. Once the winners are established, the race stops, and the winners reign. So the competition between the peasants produces the ruling elites (the winners) who no longer need to compete. The temporal dynamic of the race becomes fixed synchronically, as it were, as the social hierarchy. And capitalism mutates, depending on the class in question.