> he used the word "class", let me find Marxism in my dialogue tree.

If you were unaware of the term "bureaucratic class", it's not a pro-marxist shibboleth. It refers to the population of aging white collar workers without useful skills, usually in management positions. They can be found parasitizing most large companies. If their incompetence could be reliably detected, it would trigger a massive unemployment crisis. They are often unwilling or unable to learn new skills; the productive skills that originally got them in the door have atrophied or become irrelevant.

Any organization as dysfunctional as you describe isn't going to be meaningfully affected by choice of managers. If politics are that prevalent, then the company is coasting on laurels, and it's not really about getting anything done to expand the pie. It's about in-fighting over the predictable, fixed-sized pie that comes in every quarter.