[meandog]

There's already a USS JOHN McCAIN DDG-36:

It is an Arleigh Burke class Aegis destroyer.

[rmlew]

The USS John McCain is named after either Senator McCain's father or grandfather, both of whom were admirals.
Given that that two carriers are named after presidents who served on carriers, (George HW Bush and Gerald Ford), I assume that any ship named after a "president" McCain would be a carrier. I also expect it to have an extra fire-control team.