Another counter-argument is the fact that ancient Anatolia is known to have been inhabited by non-Indo-European people, namely the Hattians, Khalib/Karub, and Khaldi/Kardi; though this does not preclude the possibility that the earliest Indo-European speakers may have been there too.
Hattic language, spoken by the Hattians in Asia Minor between the 3rd and the 2nd millennia BC