Could a carrier hull be rebuilt to missile-cruiser standards?
Short answerYes, given sufficient dry-dock capacity; a Queen Elizabeth-sized hull could become an exceptionally large missile ship.
NotesA carrier-sized hull offers exceptional internal volume and deck area for missile conversion. Given sufficient dry-dock capacity, the concept is technically sensible. A Queen Elizabeth-sized hull could carry an enormous vertical-launch battery and become an arsenal-like surface combatant. Similar carrier-to-missile-cruiser ideas were considered for several classes, so the concept is not unique to this counterfactual.