Communism is/was a bastard child of the Enlightenment and the Industrial Revolution. It promised to produce the same things liberal capitalism promised -- a world of prosperous, free and equal people -- only better. We could attack it, and did, by showing that it didn't deliver the goods as well. Jazz, rock and role, and the individual hedonism that went with them were something that people raised in a communist society could recognize as part of a better material existence.

Islam isn't vulnerable to the same attack because, unlike Communism, it isn't purely materialistic. Like all serious revealed religion, it has the great fudge factor of Heaven and Hell to make up for its worldly failures and to keep the faithful in line. As long as conformity to the will of God is the most important thing, mere prosperity and material well being aren't enough, and individual liberty is positively pernicious.