I don't know whether Iraq's current culture is amenable to democracy. However I don't know that the U.S.'s current culture is actually more amenable to democracy. Further, the idea that the U.S. military effort aims to install democracy has been disproven over and over again - the U.S. military generally aims to install regimes that are friendly to U.S. military and business interests, regardless of the wishes of the local people who are actually governed. This is the opposite of democracy. So it seems inappropriate and even offensive to bring up the question of whether Iraq is ready for democracy, though I don't think you intended to be offensive.