Just some minor corrections here, Dr. Sun Yat Sen's mausoleum is actually in Nanjing, China, which was the capital of the China under Nationalist rule, and he is also supposedly the mentor of Chiang Kai-shek.
As for Taiwanese cuisine, I think they are part of Chinese cuisine but can hardly be representative of Chinese cuisine as a whole. It is most similar to Fujian cuisine just like Taiwanese language is similar to Fujian dialect. My understanding is that China as a country has many distinct regions with their own cuisines, dialect and customs. Some even have their own language and accents until the Communist rule standardized the language to common Mandarin with simplified characters.
Another interesting fact is that Taiwan's most famous restaurant 'Din Tai Fung' actually serves Shanghai-style cuisine.