Both sides claim China are theirs. At least one time Chiang prepared his army and proclaimed "regain China". Today more Taiwanese were born in Taiwan than in China.
The points are:
1. One China.
2. China will be reunited into one like Vietnam, Germany...
3. If it does, it is a civil war. Hence, US should not participate - have we learned from Vietnam?
BTW. The first mission of the carrier is for this purpose to me. The fighter jets cannot make the round trips today and they do not have the refueling capacity for the invasion (or reuniting depending on your point of view).