USA needs to move out and stop trying to start a war with China. Taiwan is China. Historically, legally, even according to the US's own policy. The KMT lost. This fantasy the US has of toppling or splitting up the PRC in a proxy war is extremely deranged.
China has exercised incredible restraint over the actions of a belligerent warmonger US.
I don't agree with most of what you've written, however, if the US has only mineral-profits interest in defending Ukraine from Russia, then there's only slightly above zero chance that the US will be rushing to defend Taiwan from China. What seems more likely is that the US will agree to let China take Taiwan in return for allowing the trade of TSMC chips to continue.
TSMC is the majoity (only?) value proposition the US has in Taiwan, and, from memory and a cursory Wikipeding, it seems that TSMC has been 'de-centralising' into Japan, the US, and Europe of late.
China has exercised incredible restraint over the actions of a belligerent warmonger US.