Western meddling in Sino-Tibetan affairs by the US government is understandable and is just international politics. But meddling by so-called 'anti-establishment' celebrities is the height of irony. The equivalent of Russell Brandt yelling "Free Tibet" at Glastonbury would be Al Wei Wei (famous Chinese social activist / artist) holding a concert in Shenzhen with proceeds going to some Singapore-based non-profit calle…
But Tibetians are much more numerous and they've lost their independence much more recently, making their case incomparable to that of Cherokee. Your parable is shaky.
You seem to think that Dalai Lama issue is either solely about annoying China, or solely about self-presentation. It is not. People are genuinely interested in Buddhism because it looks elegant and less stained than other major religions.