What Alaska-based missile cruisers might retain

What changes if US Navy missile cruisers are based on the Alaska-class hull?

They become much larger and more powerful and could retain useful 8-inch guns alongside their missiles.

An Alaska-class hull would produce a missile cruiser far larger than most historical conversions. The extra volume could support extensive sensors, magazines, command spaces, machinery, and endurance. Size also reduces the pressure to discard gun armament during conversion. The resulting ship might retain useful 8-inch weapons alongside its missiles, combining heavy naval gunfire with a powerful guided-weapon battery.