Well, what about the ballistic missile threat?
When fully developed and operational terminally maneuverable ballistic missiles are launched, only the Aegis ships can try to swat them down. There's talk of using other anti-missle missiles, even the AMRAAM, but is the AMRAAM fast enough? How many missiles do those Aegis ships carry, it's probably not a secret, so when they are out of missiles, the enemy should know. I imagine more than one interceptor would be launched at every incoming warhead, thus halving the number of ballistics needed to overwhelm defenses.
The capabilities of a carrier are obvious, and well known, and have been demonstrated repeatedly.
Right now they are one of the major kingpins of power projection. Is that going to change?
US subs can have lots of cruise missiles to take out fixed ballistic launching sites, but a lot of the "short range" ballistics are mobile--another problem.