For profit system!?
I'm pretty sure every time I've seen humans get together there's someone trying to get more of something than the other people. Even in communes or communities without money like jails (and in the romanticised tribal past). Some parts of economic theory help predict these outcomes even in places that aim for these ideals.
Where are you seeing evidence of a system that's close to what you're describing that's functional, stable over time, and more than a few isolated individuals?
An economic model that includes capitalism explains a lot of the world including having some close process analogs in nature.
A capitalist sounds like a label you're trying to apply in an attempt to label someone as being maximally for profits. A lot of companies admittedly work that way and it's important to include that concept.
By my reading you're taking the use of the first term and then saying they are using the second term. I think this is called equivocation.