Here is a little bit of history about the short-lived Republic of Hatay (sanjak of Alexandretta). It existed between 1938-9 before it was annexed by Turkey.
"In the Treaty of Lausanne of 1923, Turkey had renounced any claim to its former territories. But in 1936, when Syria was slated for independence under the mandate, Kemal Atatürk approached France over the question of Alexandretta. Turkey insisted that a majority of its population were Turks, and that it should revert to the Turkish Republic. France insisted that the Sanjak would maintain its own autonomy within independent Syria.
But this was 1936, and France remembered that Turkey had joined the Central Powers in World War I. In an effort to keep Turkey from drifting towards Germany again, efforts were made to accommodate the Turks. The matter was referred to the League, and Syrian independence delayed. In May of 1937 the League recommended an autonomous Sanjak which would control its own internal affairs, but whose external affairs would be under Syria; it would be demilitarized.
Arab nationalists insisted there were 125,000 Arabs, Christian and Muslim, and Armenians in the Sanjak and only 85,000 Turks; the Turks insisted there was a Turkish majority. A French census found a Turkish population of 46% , a minority but the largest single group in the population. Neither side readily accepted those numbers. But France and Turkey subsequently agreed to a Turkish “preponderance”of influence in the region, which in late 1938 elected a Turkish President and renamed itself the State of Hatay.
Since Syrian independence had been postponed, Hatay was technically still under French mandate. In June of 1939, with European war imminent, France signed an agreement on mutual assistance with Turkey and separately ceded the Hatay to Turkey. Turkey took over, and pressured non-Turks who would not accept Turkish citizenship to leave."
http://www.theestimate.com/public/102398.html
"Turkey insisted that a majority of its population were Turks, and that it should revert to the Turkish Republic"
Turkish population of 46%
"pressured non-Turks who would not accept Turkish citizenship to leave"
Tens of thousands of Armenians, Greeks, Arabs and others "left". Many of these Armenians, by the way, were survivors and descendants of the survivors of the Genocide. Some of them went to Cyprus. I wonder if there are any Armenians that fled Turkish rule 3 times (1915,1939,1974). There were certainly many that fled twice.
It appears that before the "Cyprus Problem", Turkey had the "Hatay Problem". But that problem was solved in 1939. Essentially, the problem was that a majority of the population did not want their country to become annexed to Turkey.
Some interesting excerpts from Time Magazine articles to follow.