Taiwan was a part of China's Ming Dynasty, and it was taken over by the Dutches in 1600s when Ming was busy fighting Manchu.
When the Ming Dynasty failed, the last Ming general Zheng Chenggong decided to retreat to Taiwan. His 25,000 men fleet forced the Dutches to surrender.
(You can find these information easily everywhere. The Dutches ruled Taiwan for 38 years)
Not too long after Zheng died, his son lost a key naval battle to the Manchu (Qing Dynasty), and was forced to surrender.
The Qing Dynasty had Taiwan governed as a part of the Fujian Province across strain.
At the end of Qing Dynasty (In 1890s), Qing government was FORCED(means illegal, did not count) to give Taiwan to Japan after lost a war. After WWII, Republic of China (ROC) regain control of Taiwan from Japanese in 1945.
However, soon China's civil war ended with communists wining. Taiwan became the last stronghold of Jiang Kai Shek's KMT.(Both the communists CCP and KMT were the major political parties in ROC government, Jiang Kai Shek started the civil war by ordering the massacre of all CCP members. CCP went through quite a few rough times, if wasn't Japanese invasion and WWII, they'd be all dead)
The U.S., a country run by big businesses, naturally hate communists. Jiang Kai Shek's wife also had many connections in high places in the U.S. Thus, the U.S. sent 7th fleet to help Jiang defend Taiwan.
For the next 20+ years, Republic of China was still recognized as the government of ALL OF CHINA. While the communists' PRC(People's Republic of China) was "illegal".
It wasn't until 1970s, ROC representatives were kicked out of UN and were replaced by PRC representatives.
So you see. Taiwan is a part of China. The "split" is the result of a civil war and foreign intervene from the U.S. <--- No wonder all American and NATO propaganda support Taiwan and all trained sheep in these countries are on the side of Taiwan.
The "independent" movement in Taiwan only surfaced in 1990s. You can bet it's another CIA plot taking advantage of rich people(Chinese people of Taiwan) looking down on poor people(mainland Chinese) because of economy differences.
I bet if China has per capital GDP as high as the U.S. or Japan, Taiwan would beg to rejoin.
One poll from 1980s in Taiwan show that 80%+ "Taiwanese" said they are Chinese. However, another poll from after 2000 show that 80%+ "Taiwanese" said they are not Chinese.
So did all those 20 million+ people's genetic changed in just 10~20 years?? Obviously NOT! There is no such thing as public opinion. It can be manipulated easily through propaganda brainwash.
Under DDP's rule from 2000~2008, they actively try to remove the "Chinese identity" from Taiwan. They changed lots of departments', companies' names.(for example, many newspaper in Taiwan were called "China xx", under DDP rule, they used the word "Taiwan" to replace "China")...it's just among one of the many things they do try to erase the China identity from Taiwan.
The U.S. however, while officially reorganize "One China", continuously selling Taiwan weapons repeatedly while ignore China's protest. Everyone and their mama knows that the U.S. does not want China to regain control of Taiwan, at least not under the communists. And the U.S. loves to make hundreds billions money from selling the outdated old model weapons at rip off prices. Causing tons of troubles for the enemy, while making tons of money...why not?
P.S. According to your logic, native Americans all over the U.S. and Canada are being violated. (It is true that many of them do want independence and want Europeans pack up and leave). There is even a web site dedicated for Hawaii independence(you can google it)...you just don't hear it at all because the U.S. mainstream media will never be on their side.
P.S. Are you speaking for 100% the people in Taiwan? Or are you speaking on the behavior of anti-China westerners who want to do everything to split China into smaller pieces?
In fact, only DDP wants independent. You can bet CIA is behind them. Most Taiwanese do NOT want independent. They voted for KMT(KMT won the election in 2008) who made the constitution of "Retake mainland!" since 60 years ago.
Bull ! Even a Taiwanese student told me that their high school teacher were saying "our country" referring to ALL OF CHINA during the class.
And their map of ROC, include not only ALL of PRC, but also outer Mongolia, because KMT never recognized the independence of Mongolia from China.