1) Shooting down anti-ship missiles is very doable, even hypersonic and stealth missiles. A naval carrier group is pretty much invulnerable to any single weapon that exists today. However, they do have a limit to how many defensive SAMs they can carry. So firing hundreds of anti-ship missiles will overwhelm their defenses and eventually sink that $15 billion carrier with 4,000 people on board. 2) The British Navy’s upcoming strategy seems to be using large numbers of small anti-ship missiles that use AI to target critical systems of the ships they target (rather than just trying to sink the ship). This actually looks like it should be really effective since they can disable enemy ships or at least exhaust the defenders’ defenses before firing ship-killers at them.
Another thing I want to note: we really really really don’t want to go to war with China, and China doesn’t want that either. I think China would only try to take Taiwan if they knew two things: 1) they could take and hold Taiwan 2) they could exact such a heavy toll on American forces trying to defend Taiwan that the US would not want to get involved. Taking Taiwan is probably not worth it if the US fights. China needs to convince the US it’s not worth defending Taiwan. It is a form of Prisoner’s Dilemma.