No offense but not only are white people like you on it, they are pretty much the only ones on it. Studies have shown that Native Americans don't care. The most recent was done in 2016 and 9 out of 10 Native Americans said they were not offended by the Redskins team name. That's an overwhelming landslide.
It's definitely a point of pride for a lot of them. Being prideful might be more common than not giving a s***. If Florida State ever changed their name the Seminole tribe would be livid. They love it and see it as a point of pride and they officially endorsed it. And Florida State isn't exactly PC about it either. They have Chief Osceola riding around on a horse and throwing spears. The Utes and Chippewas have also given express consent.
I agree Native Americans have no political pull whatsoever but I don't know that drumming up phony outrage over something that doesn't really matter would be considered a win. Poverty, jobs, constant land battles with the feds, violence against women, alcohol and drug abuse, poor education, poor housing, inadequate healthcare, youth suicide, and banking and financial issues are all far far more important to that community right now then some sports team names. Getting the Washington Redskins to change their name for 16 Sundays a year isn't going to provide any momentum to change those issues IMO.