Runciman and Lewis note that in the book the film is based on, what Project Mayhem conspire to blow up is not the offices of credit card companies - a trope borrowed years later by Mr Robot - but a more typically right-wing target.
The filmmaker's choice to make that change, I believe, was to hammer home the point I made above. That this cult of power, and the loyalty to a charismatic troublemaker, can build around any political movement, across the political spectrum.
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