Corporatism as a system has nothing to do with corporations in the modern sense. Please look at the book Corporatism and Comparative Politics by Howard J. Wiarda. It is on Google Books. Unlike Marxism, it's goal is for the working class and the bourgeoisie to be not in conflict, but a part of the same body (corpus). This would mean things like employer-employee solidarity and an economy that is controlled by the state together with employers and workers working together (ideally). Corporatism was posited as a third way between capitalism and Marxist systems. Our current situation is not a third way. It's just an evolution of capitalism.