I think long term it's very likely for Turkey to become an SSR, which means population transfers will occur. I'd think the Soviets will send a bunch of Turks into central Asia and send a buch of Armenians in European Russia into the expanded Armenian SSR too. Hell, maybe a bunch of Armenians that went to Greece go back to Armenia.As it stands OTL, Meskhetian Turks were already deported so it us unlikely that more people will find their wya to Central Asia.
Let's be careful about confusing Turkic with Turks, Kazakhs and Turks have as much in common as say Romanians and Spaniards or Germans and Dutch.
It is very unlikely that Stalin would be mad enough to relocate Kazakhs or Uzbeks away from Central Asia unless the Soviets want to have another Bashmarchi rebellion on their hands. Where would they be relocated to anyways? Western Soviet Union is in need of rebuilding and can't take in a large influx of a very different population.
Where things could become very interesting TTL is with regards to Armenia. If there is a war between Turkey and the Soviet Union, Stalin could push for the Armenian SSR to encompass the entirety of Western Armenia. Very large scale population transfers could ensure, but it is very doubtful that the Soviet Union would be able to repopulate the territories with Armenians alone.