A recently released propaganda video by the Islamic extremist group Hizb ut-Tahrir is quite revealing. Not only does the video demonstrate the group’s growing effort to package arguments in a manner designed to appeal to Westerners on the political left, but it also serves as a barometer of radical Muslim groups’ broader shift in rhetorical strategy. The video, “Iraq: Past and Present Colonialism,” appears for the first twenty-seven minutes to be a standard leftist critique of the Iraq war, indistinguishable from Michael Moore’s Fahrenheit 9/11. The slickly-produced video begins with the history of past colonialism in Iraq—including the Mongol conquest...