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For the same reason American presidents don't become Chinese-style emperors.

In short, the cultural, historical and social context are completely different, and Americans don't expect their presidents to set up Chinese-style dynasties.

The cultural, historical and social context were completely different in China, and even though Madame Chiang Kai-shek spoke perfect English, western-style democracy would not have worked at that time.

Even today, it is not likely to work.