In the early 1970's, the USFSA Dance Committee researched the topic and suggested, "With the opening of the American West in the early 1800's, the English were enthralled by accounts of American Indians. A few captured Indians were even shipped across the Atlantic and put on display for the curious Englishmen. This interest in American savages caught on among English skaters, and they adopted the Indian tribal names 'Mohawk' and 'Choctaw', to describe their turns.
Yikes! Named after captured 'savages' shipped abroad and put on display for entertainment - it's more than political correctness to say those names need to go.