Fair characterization of industrial capitalism, perhaps. How about network capitalism of the type described by Yochai Benkler?
https://www.benkler.org/
I think fundamentally humans want to compete instead of cooperate and that a tiger can't change its stripes.
Capitalism !== markets. Markets are much older than capitalism and will be around long after capitalism has come and went.
Capitalism is merely a mode of production based on exploitation by control of capital.
Honest question, given the tens of thousands of years of humans cooperating to form groups of increasingly large size and interdependence, what makes you think there is more competition than cooperation happening?
Because after tens of thousands of years we are no closer to the utopian ideal as the cavemen were. Also because you can't cooperate for a mate.
In caveman times you were _far_ more likely to be killed via violent encounter, starve to death, or die from minor accidents or infections, etc. The average life expectancy was about 20 years, and a painful death was highly likely. And while you can't cooperate for a mate, there is no shortage of mate's to go around and likely millions of suitable matches for any particular person today. So however far from utopia we might be now, we are certainly _far_ closer than caveman times.
I'm not aware of Benkler, I'll take a look. That said, unless it's a very different form of capitalism that we currently practise...