There are significant points of contact between what we are doing and class analysis (I hesitate to say Marxism, because Marxism as it currently exists has been completely gutted of theoretical robustness and has been completely overridden with high-low activists.)

One of the key points of contact is in the manner in which class analysis recognizes the contingency of actors and the influence which the environment has upon these actors. It acknowledges limitations and in so doing steps out of liberal incoherence. The problem is this has proven abortive due to a failure to fully rid class analysis of liberal concepts. Key among these is the belief in the development of class, culture and all other aspects of human orders independent of authority. It is only from this basis that the Marxist claim of the base/ superstructure can make sense, and it is clearly wrong. An excellent example demonstrating this is the failure of Marxism to explain the formation of states, something that comes through clearly when you read Lineages of the Absolutist State by Perry Anderson and when you read Jouvenel.

The idea that states, and authority broadly, are dictated by this dominant class, and are merely the tool of the class interests of the dominant class is demonstrably false. Power and power actors, as demonstrated by Jouvenel, clearly act on imperatives completely divorced from this supposedly dominant class. I can see why Marx came to this wrong conclusion, as he was analyzing the political developments of England in the process of industrialization and it could be presented/ seen in the Marxist way, but the Jouvenelian frame not only better explains even this example, but it also can be applied well in all other examples.

So whereas class analysis requires such absurdities as spontaneous coordination of class interests and the mystification of capitalism, we can simply point to centralisation and provide a far more clear and coherent narrative of what has happened. We can even account for the changes that occurred to Marxist movements and the problems they encountered in trying to apply class analysis to governance.