Answer
No we shouldn't invade china and we might lose even if we go to war with china
Explanation:
The remaining US forces in this case would be insufficient to back down China’s air and sea forces, which could then easily scoop up a prize such as Taiwan.
Additionally, the US can’t counter many of China’s most relevant missile systems because of the Intermediate-Range Nuclear Forces treaty it signed with Russia, which prohibits missiles with ranges between 310 miles and 3,400 miles — the type it would need to hold Chinese targets at equal risk. (The US is withdrawing from that treaty.)