Believe it or not, I thot this was Sexton Glacier but I am wrong and so is the video stating so. Shoot! Sexton Glacier is actually on the eastern side (north) of Going to the Sun Mountain and on Matahpi Peak. (Altho, I don't see it but maybe I'm looking at it wrong or from a different direction.)

Come to find out, (from Enjoy Your Parks) Going to the Sun Mountain is a very sacred mountain. The Blackfoot Indians tell the story of Napi, their Sun God, who actually came down to earth to help his people during a period of great misfortune. When his work was done, Napi began to climb Going-to-the-Sun Mountain, and he was last seen on the upper cliffs as he disappeared back into the sun.

And what is so amazing about this beautiful story is there is a large, permanent snow field on the east face of the mountain shaped exactly like the profile of an Indian wearing a large head dress!