The goal of capitalism is to produce more than one is capable of consumingThis is the goal of any economic system as far as I can tell. I don't see how ownership of the means of production matters.
If utility is infinite, then the goal of production is to satisfy an equally infinite debt to maximizing utility
Sort of. This is why we have sympathy/empathy, social mores, the rule of law, and finally the threat of Malthusian apocalypse. Each of these, in order of increasing severity, exists as a budget constraint on greed in service of utility maximization. And again, this has nothing to do with capitalism specifically -- it would be true in any economic system. Socialist and communist governments in the 20th century went to great lengths in order to remind us of that.