With respect to the Turks, their movement into Anatolia is comparatively modern, as you point out. But again, I was merely pointing to a Asian people who clearly moved in from Asia and decided to stay. This is an incredibly common phenomenon and I find is surprising that people think the populations were somehow static, and that the concept of agriculture was spread by word of mouth.
This whole thing sounds like a grant seeker stating something very obvious ("agriculture was spread by human migration") and pretending to disprove a notion that no one really held ("agriculture spread by word of mouth").
The Sa'ami languages are grouped with the Finno-Ughric group ~ mostly on the basis of sharing the same vocabularies in a wide variety of human activities.
However, there are sufficient grammatical differences in ALL the Sa'ami languages to set them aside as EARLIER than Finnish, Estonian, and possibly some extinct forms more akin to the Hungarian base language (before the arrival of the Cumin, et al).
Even German has acquired some grammatical forms from Sa'ami ~ which suggests some serious contact about the 8th Century BCE.
Current thinking is the other languages once grouped in the former Uralic-Altaic group probably originated IN THE WEST and then spread EAST.
Even some Japanese (the Royal Family and Daimyo ~ the people who invaded in the 6th century AD) have the Sa'ami X-factor gene sequence, as do the Yakuts/Sakha in Russia, the Iriquois, Cherokee, Ojibway and other Indians in North America, as well as do the Fulbe in Africa, and the Berbers ~ these all being connections as recent as 7,000 years back!
The Sa'ami have no connection with Central and East Asian groups except the Yakuts/Sakha (who are ancestral to the Daimyo BTW).
The archaeological record shows that as fast as the ice melted the people who became the Sa'ami moved NORTH on the Western coast of the Fenno-Scandian peninsula to the Arctic Ocena and then East to more familiar Sa'ami territories.
Check this website: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1199377/