The decision to
invade sits with the leaders in Beijing. "The enemy gets a say", as the saying goes, and whether they would be successful is not obvious. It would be arguably the most complex amphibious invasion in history, definitely rivaling Normandy. The US has a lot of tools, both software and hardware, to bring to the fight in this scenario. Perhaps the question is on acceptable cost. There's also really only two times in the year when the weather in the Straight is calm enough to support that kind of invasion, and the sheer volume of hardware and systems they would have to move makes this kind of operation almost impossible to hide, though there are limited and imperfect ways to mask the preparation.
>It isn't winning these fights.
It absolutely is, right now, in Ukraine. The US has been able to use the Ukraine war as a massive real-time R&D laboratory for our weapons systems. The result is that Russia can no longer project naval power, their strategic air force is completely neutered, and they have tipped their hand for much of their signals and EW systems. The war is stalemated ... without the direct involvement of NATO (the wisdom of direct involvement is not relevant here).
This is to say that I disagree, there is a military solution to this problem.