Reuven Eliaz sheds light on the concept of the dhimmi (appeared as a comment at this thread) which explains why Turks cannot reconcile themselves to being a minority living under a Greek majority.
"Since its inception, Islam has divided the world into two parts: the "dar al-Islam," or "realm of Islam," which means territory that has already been conquered in the name of Islam, and the "dar al-harb," literally "realm of the sword," meaning territory that has not yet been conquered in the name of Islam.