Administration and regulation of social relations is thereby mediated through a thing-like institution, the state. But the point is that under capitalist civilisation people cannot make such choices since they are not in control of their the social relations. Its existence as a manifestation o f the reification of human relations. Clearly the state has a co-ordinating character and shares this in common with certain other social phenomena. But this is not the point.
Capitalism is a system through which human wealth is reproduced.
It shares this feature in common with other forms of production of wealth. However this would be to miss the point. It is how the capitalist mode of production specifically differs from a particular form of production that is of historic significance. Marx and Hitler were human beings. However what is significant is their specificity, not their commonality.