A pure Islamic Society is where A 'muslim' Is the definition of that state. Its where all "Muslims" , irrespective of nationality or Race, reside in. It is where the Citizenship of that state is by being Muslim. Saudi Arabia and Oman is a monarchy. And Yemen calls itself a democracy. So, no. There is no pure Islamic Society. Plus, a pure one is possible. It can happen if CULTURE of the region gets eliminated.