Could Alaska-class ships have become missile cruisers?

What if Alaska-class large cruisers had been the basis for US missile cruisers?

They could have carried substantial missile fits, but contemporary technology would likely produce hybrid gun-and-missile conversions rather than a clean modern VLS ship.

The Alaska hull had the beam and reserve stability to carry substantial topweight, making a large missile conversion physically attractive. Without mature vertical-launch systems, however, the Navy would need trainable launchers and extensive reconstruction rather than a modern flush-deck arsenal. The speakers imagine retaining the forward heavy guns while replacing the after battery with missiles, although a more radical hybrid arrangement is also possible. Keeping large cruisers in service could normalize that scale of combatant and give the later nuclear strike-cruiser proposal an easier institutional path. The result would be a very powerful missile cruiser, but not simply an Alaska filled with contemporary VLS cells.