Our current oligarch-capitalist system (wherein most of the world is dictatorship or plutocratic) is not capable of equitable resource distribution. However, future, better systems of organization will likely provide better mechanisms for distrubtion.
Capitalism is an old and dying system. It is clearly unfit for the 21st century. It's best thought of as anachronistic, like feudalism. Once it's been excised from our societies, we'll be able to answer your questions.
Meanwhile capitalism bases itself on game-theory and evolutionary selection. You compete with power, sexual selection and resources. It's sadly a system more aligned with the natural order of things. If you strip away all banks, hedge funds, etc, you are again going to get people who want to mate with the hottest fit partner, get the most resources to ensure survival of their offspring, etc.
The organizational/political problem I mention above with the land use land in the same bucket. Who gets the best land, etc. Historically this has just been decided by war and killing each other. Maybe you're right and that's where we end up, but that is very far from the utopias talked about in the comments above.