The relationships between these languages are not readily established by looking at vocabulary (since your typical agglutinative language readily absorbs words from any source). At the same time there are relationships somewhere. DNA studies suggest they are in the Western European Ice Age refugia in Iberia!
Once you know that there's a DNA sequence peculiar to the first group(s) to leave the refugia at the time of the big meltdown (14,000 years ago) it's a simple matter to look for others. That has been done ~ they are Berber, Fulbe, Sa'ami, Cherokee, Iroquois, Chippewa/Ojibway, and Yakuts.
This is haplogroup X?