You do understand the history right? The US chose to back the KMT on Taiwan, sort of like if England had decided to back the Confederates if they hold up in Florida. Except the KMT on Taiwan never seceded. In fact, they organized a fascist dictatorship on the island and they imprisoned and killed anyone who wanted to reunify with the mainland, and they also imprisoned and killed anyone who wanted to secede. The US was supporting them throughout the entire 4 decades of the White Terror wherein the government in Taiwan explicitly stated they were not a separate nation.
In fact, a bunch of Chinese people from Taiwan who fled to the US or Japan tried to build secessionary movements in exile and the KMT on Taiwan chased them down with spies and assassins to stop them.
Just because the US carries on the age old tradition of white European empires trying to pull pieces of China way from China doesn't mean Taiwan isn't part of China.