So it is in people's minds pretty often. Other places have this as well. In Western Europe it is perhaps ww2 stuff. Someone here just yesterday claimed they don't want to use the 'ss' Linux command to diagnose socket issues because of how it relates to 'ww2'.
In other parts it is all about nationality, if you call someone by a different nationality, they might be terribly offended by it. It looks silly from the outside, but once you live there it makes sense why there is emphasis on certain things like that.
I think you have to grow up in a place to internalize that. When I was in Portland with a co-worker, who was born and raised in US. He leaned over and whispered "Have you noticed, how everyone is white here?. It's freaking me out". But I haven't noticed until he mentioned it. For better or for worse, it is just not something I think about. But he did.
There are only 2,700 [1] black people living in the state, it looks to me like they're exactly showing the racial diversity of the state. Sure, they could have a single black person so the numbers are correct but then someone will just complain about them including a single, token black person.
The Billing specific census information is a little bit older but has the same 0.3% figure for black people [2] - that puts their total black population at 270/95,220.
[1] http://www.infoplease.com/us/census/data/montana/demographic... [2] http://www.infoplease.com/us/census/data/montana/billings/
But based on my observations hiking, skiing, etc., the participants in those activities in much of the US are pretty overwhelmingly white, as are the long-time population of cities in the Mountain West.
This isn't to excuse the white-washy-ness of the video (e.g. lots of cowboys, no Indians), but just to say that the problem is at least a couple of levels out from just this video.