In the age of classical Islam, Muslims weaved their political, cultural, economic and social existence with the state, the bazaar and the mosque. When Muslims exhibited the exemplar of civilisation, the church was seen as an integral part of civil society.
So those of us obsessed with the Western conception of the separation of church and state in politics need not despair. More importantly, we need only look to the example of the United States and the very active "Bible-belt" constituents of the Republican party. So really, we are not special when it comes to religion mixing with politics.