I would not identify as a Marxist. I'm also familiar with this understanding of Capitalism; I started out my interest in economics reading Adam Smith and learning about Austrian economics.
I wrote this article a while back that I think more directly addresses the understanding of capitalism that you have and elaborates some of the fundamental problems I have with it. I've also written on state capitalism in a way that elaborates on this idea.
I'm interested in what you think of these ideas, particularly the main concept if you don't have time/desire to read both articles.