I don't think anyone is interested in putting US nukes in Taiwan. Presumably US nukes are already in the area on US naval vessels. It doesn't really change the balance of power; the US isn't going to start nuclear war over Taiwan.
The more meaningful scenario is what happens when Taiwan gets its own nukes. Either developed domestically or acquired shrinkwrap ("POINT THIS SIDE AT ENEMY"). At that point it's out of US control, and you can imagine the Taiwanese would use them in an existential crisis.
Of course China (specifically, the CCP) wouldn't be happy about that. That's not the point.
The more meaningful scenario is what happens when Taiwan gets its own nukes. Either developed domestically or acquired shrinkwrap ("POINT THIS SIDE AT ENEMY"). At that point it's out of US control, and you can imagine the Taiwanese would use them in an existential crisis.
Of course China (specifically, the CCP) wouldn't be happy about that. That's not the point.