Our capability is currently the ability to shoot down 1 of those, while China has developed MIRV capability and can fire dozens at our carriers. Dozens of ASBMs are far cheaper than 1 carrier.
US carriers are surrounded by escort vessels of all types intended to address every known threat above or below water.
The US has dozens & dozens of Aegis equipped destroyers & cruisers, each carries something like 100 missile launchers and each launcher can hold four missiles -- a 4-pack.
And that's not to mention the carriers' aircraft themselves, including unmanned drones that carry missiles able to shoot down others moving at speeds over Mach-2.
I'm only saying: the Chinese are not that good, and we're not that bad, so don't automatically assume the worst.