I don't like to usually sit and debate the ship vs. ship scenario, but I am interested in anyone's opinion who wishes to give it. This is a clearly hypothetical question. But given that the Iowa class were constructed in WWII, how well do you think one of them (which ever one) after its 1980's modernization would hold up to an full assault from the air wing of an American Essex Class carrier from WWII? Especially what everyone thinks how the 20 mm Phalanx Close-in Weapon System (CIWS) would perform against the airplanes of the period? Phalanx CIWS was designed as a last ditch weapon against missiles and fixed wing aircraft.
The same hammer that shatters the glass forges the steel.
-Russian Proverb