WI: Soviet-aligned Turkey

Now I'm not really asking for a communist Turkey, but what is the possibility of say Turkey getting kicked out of or leaving NATO say after a worse Greco-Turkish War where they feel they are being treated unfairly or think NATO is favoring Greece. After that they side with the Soviets for convenience sake rather than ideology and just to get back at the West. Another unrelated question but what are the chances of Turkey not being allowed in NATO and say being forced to join CENTO instead?
 
I already see some problems arising when this timelines version of the "Cuban Missile Crisis" rears its ugly head. One of the key negotiating points if I recall for the removal of soviet missiles from Cuba was that the US remove theirs from Turkey. Needless to say a soviet aligned or friendly Turkey would very well butterfly and alter this negotiating point away.
 
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