In case Greeks were mixed with Turks they ought to be more Mongoloids, but they are not, thus Greeks are not mixed with Turks, at all.
Mixed(in a small percentage) with ancient Armenoid and Orientalid Anatolians, like Italians are, yes. Mixed with modern Turks, no, never. Greeks and Turks do not cluster genetically.
Most Turks phenotypically are Armenoids(composite).
The prevalent Armenoid racial type of Turkey almost do not exist in Greece(and same goes for rest of Balkans), that's one of the main differences between Greeks and Turks. Turks are usually Armenoids while most Greeks are Mediterraneans and Alpines.
Near Easterners/Levantines are also mostly Armenoids(in combination with Iranids/Orientalids/Brown Skinned Middle Easterners and Euro-Mediterranean Aegean Mediterranids/East-Mediterraneans).
The only Greeks who have some Near Eastern/Levantine influence are Greek Cypriots and Greek Pontians have some Caucasian/Western Asian.
Nothing racistic towards West-Asian-Anatolids though, as once they considered "Aryans"
"The Aryan race was a racial grouping commonly used in the period of the late 19th century to the mid 20th century to describe peoples of European and Western Asian heritage."
http://en.wikipedia.org/wiki/Aryan_race
...Lol, even Dinarics are similar to Anatolid-Armenoids(internet-classifiers often confuse them!):
"Carleton S. Coon wrote that the Armenoid racial type is very similar to the Dinaric race."
http://en.wikipedia.org/wiki/Armenoid_race
"The Asiatic Dinarics, who appeared early in the Metal Age, were apparently Alpine-Cappadocian hybrids; many of those went to Europe and settled in widely separated places, including sections of the Dinaric Alps. The exaggerated Dinaric type of Albania, with its tendency to light brown eye color may conceivably be derived from this source. It is also to be found in considerable numbers in the Tyrol."
"Dinaricism is not a quality pertaining to a single race, it is a condition. This condition is common in Europe; it is also common in western Asia."
http://www.theapricity.com/snpa/chapter-XII13.htm
The Serbian Nikola Tesla, one of the greatest scientists(Dinaric).
Not only is the Greek genetic legacy clearly detectible today, but it is detectible among not only the Greeks, but all their neighboring populations of partial Greek ancestry:
THE FOURTH is strongly reminiscent of Greek colonization in the first millennium B.C.