Back to topic:
Greece could have beaten Turkey, which was relying almost entirely on Ataturk's superb leadership to hold it together. Had he drank a bit too much whiskey one night...
Turkey instead of being a Mediterranean state would be an Anatolian one, and probably look a lot more like Syria (bad government, diverse and fractious population, not enough industry). I would imagine that the remaining modernists in the Turkish government would have been easy marks for the Bolsheviks. We would probably see an economically revitalized Greece making inroads yearly towards gaining suzerainty over Constantinople - the day this happens, the Greek government makes it their capital - while a Soviet-puppet state emerges in Turkey.
In WW2, Greece is much stronger than it was historically. I doubt Mussolini dares to attack it, thus avoiding the snare that it became. Hitler still has his paratroops, since they aren't massacred in Crete. Dunno if that makes much of a difference overall, but Greece isn't occupied by the Nazis, and probably remains neutral til near the end of the war, when it sides with the Allies after the war is already decided. Not being occupied, there is no Greek Civil War in the late 1940s, and its questionable what happens in terms of Greece joining NATO, although I suspect they become a member state, while Turkey remains left out. Greece annexes Cyprus in the 1970s and boots out the Turks, causing a massive Cold War crisis.
Just a few thoughts.