I wonder how Turkey fares. It had a large Jewish population and saved many during Greek invasion.
As far as Jewish populations go, the only nation in the Pakt that resisted turning their Jews over was Italy until Farinacci's rise. After Barbarossa, the Nazis simply would not have tolerated the Jews in the Continent (the Wannsee Conference already was including even British and Swiss Jews in the Final solution). When Horthy refused to turn over 800 thousand Hungarian Jews, he was overthrown in a coup by the Arrow Cross, the Reich also solidified it's control in Romania by sponsoring the Iron Guard's return after the war and in Bulgaria through the regency.
Turkey simply would not have a choice after 1952 but to cooperate with the Pakt for survival, in that year the British were kicked out of the Mediterranean and the Suez was secured by Nasser, furthermore in the 50s the Iranians turned to the side of Germania and Iraq fell to the Syrians. Every single border is controlled by the Pakt and the Turkish army could not resist an invasion from all sides. Eventually the Turkish government had to cooperate and join the Pakt (Switzerland, Sweden and later Portugal showed that Germany wouldn't tolerate neutrality in mainland Europe). A large portion of the Jews had already migrated to Israel, but those who were left ended up taken to Germania.
Similar to what happened in Romania, the Turks also had to grant concessions, by turning over Hatay to the Syrians after Saadeh denounced the Hatay Referendum of 1939 and allow the warships of the Pakt to freely cross the Dardanelles.
Provided it survives the tumult, the death of auxiliaries in Israel war will embitter the post 30 boomers against Turkish nationalism. Ecevit might soar higher as a mildly civic nationalist left socialist. On a brighter note, Adnan Menderes, the son of sixty thousand painted whores might not be famous.
There is a snowball of a chance in hell that the Nazis would tolerate a democratic or left-leaning government in Turkey. The only case they even allowed a level of autonomy in our world was Denmark and they cracked down hard when Hitler found out about the Danish Jews being helped to go to Sweden. Just because the Nazis made compromises with local governments it doesn't mean they were doing that out of belief, but because they wanted to prevent further resistance when fighting on the Eastern Front. Nothing says the Nazis would've kept these governments around if they won, we actually have more proof of the contrary as Hitler consistently denounced democracies and eventually did betray his local allies to empower fanatics (Vichy France, Italy, Hungary).