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In the minds of many Chinese people, at least, they believe that the Chinese invasion of Tibet was justified because it accomplished the liberation of the Tibetan people from the “tyrannical” rule of the Dalai Lamas. Furthermore, they believe that Tibet was their right to seize, because Tibet has had a long history of being either a protectorate, territory or vassal of China. Even my strongly anti-Communist, KMT-supporting family (my grandfather was ranked at what would be equivalent to something like a colonel in the KMT military) believes in this version of events to some extent. There is probably some truth to be found in that version of things, but it is of course, completely one-sided.
Some Chinese I have met feel the same way.
From what I can tell, when the Mongols conquered China they also had hegemony over Tibet. A lot of people tend to see a map of Kubilai Khan’s empire and identify that with China. In the same way later, after the Manchu people conquered China they would think of Manchuria as part of China, not a foreign country.
The Manchu’s had an especially close relationship with Tibet, but I am not clear whether they ever considered themselves dominant over Tibet at that time. The Lamas had been placed in charge at some point by a more minor Mongol king.
Interestingly, there are two leading lamas at any one time: one is the spiritual leader and one is the political leader. The Dalai Lama is actually the political leader, not the spiritual leader of Tibet. This explains the conflict with the Chinese government. They are willing to allow the system to stand, but they want a ‘safe’ candidate in place.
The Chinese will do to Tibet what the USA has done to Hawaii. We do not have to like either outcome but there is little to be done about it.
I think the most persecuted group in China today is the Falun Gong. By comparison to the Falun Gong, Christianity is barely persecuted at all, it is regulated to a major extent but hardly persecuted.
During the Great Proletarian Cultural Revolution all religious groups were attacked, the Buddhist and Daoist temples as much as the Christians, and most monastaries were ravaged, some burned. Daoism is known to be a native religion, but Buddhism and Christianity are recognized as having foreign origins, so this made them targets of the xenophobia which went wild at the time, on top of the general Marxist disdain for religion. All religious groups have had to make a long slow recovery since then.
Today it seems there is a mild interest, perhaps a curiosity, among the ordinary people about Christian religion. I found that the questions are not very deep, but not hostile either. Some people probably think it is quaint. From what I have heard the fasted growing Chistianity in China is house church protestantism. Churches which need a long time to develop clergy are at a real disadvantage.