Frank Herbert once made the observation that corporate hierarchies were very similar to feudal hierarchies, just with milder consequences for disloyalty and failure. (The hierarchies within organized crime are even closer to the feudal ones, even including the feudal ceremonial trappings. This even works across cultures, where Japanese organized crime harkens back to feudal Japan and Italian/Sicilian organized crime harkens back to medieval and rennaissance Italy.) Along this line of thinking, corporate flavored collectivism should be structurally similar to Stalinist USSR, including the requirement for ideological conformity. However, the branding is likely to be far, far different.

Corporations certainly have purges. Happens all the time after mergers.

A friend of mine also pointed out that they appear to have different attitudes towards hierarchy. At least, the Marxist derived authoritarians brand themselves as egalitarian -- though they usually go ahead and have hierarchy anyway, having it both ways. Fascists and Nazis also seem to emphasize community while extolling elites, great men, and meritocratic hierarchy -- also having it both ways. It's just that the branding is different.