They are Cheyenne
The two protagonists of Pow-wow Highway both display qualities of being true to their Cheyenne heritage, but in different ways. Buddy is a strong individual who takes his and his people's rights and well-being very seriously. He shows his pride many times throughout the movie, like when he trashed the electronics store, or when he punched that guy in the face. He also shows loyalty to his family. He said he hadn't seen his sister in ten years, but still agrees to come bail her out of jail, even though the means of transportation are hard to find.
Philbert is another Cheyenne man who shows a very different side of the Cheyenne identity. He is very spiritual, and has a strong connection to nature. This is seen when he climbs up the black hills and sits under the shelter made of sticks. He also collects tokens throughout his journey, which he believes are signs from he who is looking over him and guiding him in the right direction.
Though Buddy has a rough attitude and Philbert is very gentle, they are both proud to be Cheyenne, and end up learning a lot about what it means for them to be Cheyenne.