The only reason it would be politically useful for me to try and defend the Chinese government is if you assume that American society automatically assigns collective guilt on the part of any minority ethnicity for whatever crimes it wants to ascribe to them, and clearly there isn't any evidence of THAT ever happening...
But in all seriousness, we've heard this insane atrocity porn propaganda so many times before with Falun Gong, Tibet, Hong Kong, or what have you, and in each case nobody could ever be bothered to verify any of the claims that were being made. When you put that into the greater context where EVERY designated enemy of the United States is just accused of doing the most cartoonishly evil shit and the deeply concerned American public will just swallow it whole every time and rush into conflict after conflict with utter disregard for the well-being of the people they're supposed to be protecting, it really does just start making your head explode. By contrast, when it came to Nazi Germany, the US and the rest of the Western world pretended like they didn't even know the Holocaust was happening despite ample rhetoric from the Nazis stating exactly their intentions, and didn't join the war until the Axis powers attacked them. As you pointed out, most people have no idea who the Uyghurs even are, yet I'm supposed to believe that they have suddenly developed a deep concern for their well-being based on a few articles they read in the NY Times? It's taken us centuries of living together to even be able to see our neighbors and co-workers as fellow human beings who deserve to be treated with respect, so excuse me if I'm going to be a bit skeptical that Americans genuinely care about a group of people whom the vast majority wouldn't even be able to recognize on the street, and as recently as 2013 were actually being detained and tortured, not in China, but in Guantanamo Bay.