Capitalism doesn't have desires outside of those of the people who participate in it that hold the most power. The desire of those people is more power. Not resource allocation as an ends, but as a means to more profit.

It has been shown time and time again that the majority of the powerful players in a Capitalist economy inherited their wealth or opportunities.

Capitalism can only function in an economy if a government allows it by setting up the necessary structures and allowing private property ownership.

Society can certainly be Capitalist by extension of the economy being Capitalist due to policies and strucutes set up by goverments.