Got a link to the lyrics? Just going by the visuals, I think the 'communism' angle might be a red herring. (Pun not intended, but I'm leaving it anyways.)
To me it seems to be anti-sweatshop, particularly the ones currently found in China and other Asian countries. The hammer and sickle, while commonly associated with Russian communism, are the 'weapons of the worker', much like the weapons used in Japan when swords were only the property of the samurai. Any thresher can get a sickle. Any construction worker can get a hammer. Anybody can get a fist (saw the raised fist emblem on a shirt or banner partway through.) When that's what you have, that's what you use.
If anything, it seems to be speaking against the kind of greed-culture that makes sweatshops sound like a good idea (the green guy is obviously not buying into the 'to each according to his need' bit, nor do I suspect he's too keen on the idea of contributing 'according to his ability'.) I could make a better analysis if I could parse out what he's saying. The distort muffles a lot of what he's saying.