Not exactly true. Everybody has a Muslim problem and China is no exception. They're called Uyghurs.
The rest of your points are well-expressed.
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China ‘s Muslim problem is peanuts compared to that faced by Western countries. You will NEVER witness a beheading of a Chinese citizen in the middle-east. You will never see planes flying into tall buildings in Beijing.
Muslims are natural trouble makers. If there are 10 Muslims in a country, there will be a problem. Just a matter of degree.