Has an interesting simulation of a carrier battle between a Chinese naval group and an American naval group with expected 2025 equipment.
As an aside missiles have always been evaded through kinematics. The F-35 doesn't have great kinematics. Those include the ability to maneuver, to do so while maintaining kinetic energy, and the ability to accelerate as well as maintain high altitudes and high velocities. None of which the F-35 is especially great at.
Even in a seemingly missmatched dogfight between an f-16 and f-22… it’s still plausible for the f-16 to win (sometimes). If we need a dogfighter, then we should build a drone for the task.
Carriers as mobile military bases are still very useful for projecting power.
An actual war with China will be a global affair. The aircraft carriers don't need to get in range of the missiles to bring airplanes, food, and hospitals to somewhere there is fighting. Practically, the bases in Japan are going to be the main hubs for forces fighting near China, not aircraft carriers.
Only if they can't hide.
If the US disables Chinese satellites, then China will have to rely on air- and marine-based sensors.
Satellites will be the first thing to go. The wars of the future will have a heavy space component.
On top of that they also have a fleet of unmanned submarines and an unmanned supersonic observation drone program as well as a sonarphone network.
Beyond this the carriers are so slow and the missiles so fast that assuming they fire the missiles within a few minutes of their satellites being shot down, the carrier is still unlikely to avoid the missiles target acquisition zone.
The DoD has been thinking of space warfare since the 60's. The space shuttle program was built for defense purposes. Now they have X planes to carry out these missions, and they're continually launching classified payloads.
And it's China, they are the world's manufacturing capacity, so just send hundreds at a time.