In the James Doss books about Ute tribal investigator Charlie Moon, matukach is a Ute word used to mean a white person.
Yes, they are both part of the Uto-Aztecan language family. A few examples of words will show the distant connection between them: English..........................Shoshone........................Ute...
Savaal
The Ute language is called Ute, and it is a dialect of Southern Numic.