We will rewrite this section as we get an opportunity.
The Uto-Aztecan language family extended from the Plateau Culture Area to central Mexico. Ute, Comanche, and Hopi people in the SW Culture Area speak languages in this family.
Uto-Aztecan has two branches: Northern (in the USA) and Southern Uto-Aztecan (in Mexico). Northern Uto-Aztecan includes the Numic and Takic branches. Numic languages include Paiute, Shoshone, Ute and Comanche. Takic languages include Hopi and Tübatulabal.
Southern Uto-Aztecan is divided into the Corachol-Aztecan branch (the Aztecan/Nahuan and Coracholan subbranches), the Piman branch and the Taracahitic branch. See Lyle Campbell's American Indian Languages and the wikipedia article on Uto-Aztecan languages.