It's pretty much impossible to see the US getting involved.
The UN doesn't recognize Taiwan as an independent country, so China would just be exercising their authority over a chinese company, just like they do with Huawei, Lenovo, and many others.
NATO couldn't help either, because the US is not being militarily attacked by this. And well, the US has severed both their military ties with NATO, as well as their political ties with all countries in NATO (Paris agreement, Iran nuclear deal, tarifs, empty embassies, in bed with North Korea...). Also, many NATO countries are in bed with China economically, building the new Silk Road...
So... if China were to grab TSMC, and the US would try any kind of military action, who would support the US ? Europe, Russia, South Korea, Japan, South America, the Middle east, Australia, ... they would all stand by China. The US has been screwing them over the last 4 years, while China has been giving them money for them to return them the favor in a time like this.
Or do you imagine Trump going throughout the world kissing others asses to get their support?
Yeah, no. If Trump was "brave" enough to take military action, it would be game over before it even starts: world-wide embargo against the US, all US international companies assets frozen, the S&P500 would hit zero in a matter of days, inflation would explode, the troops wouldn't be getting paid, etc. The largest military force in the world would crumble in a week before even taking the first shot.