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The British ship which was damaged in by Argentina's Exocet missile was made of aluminum if I remember correctly. The Brits have stopped that practice now. One of the down falls of BB in WWII was susceptible to aircraft attack, the phalanx weapon system retrofit solved that problem and would take care of any missile attack issue.
The
Sheffield had an aluminum superstructure that they thought contributed to her loss, but IIRC they later decided it was a non-issue. The fact that she took a hit with a very potent ASM in a space vital for damage control had a much larger effect.
As to the BB's being good at air defense, no. The CIWS stands for Close In Weapons System, and the first two letters in the acronym are vital for understanding how it works. It is designed to shoot down missiles, period. Oh, it will shoot down an aircraft, sure, but in a combat situation no enemy is going to fly an aircraft that close to it. It is a last-ditch defense against "leakers", that being any missile that has gotten past the screening ships (AEGIS cruisers and destroyers that actually have good air defenses). With a total of four mounts, an
Iowa could probably handle a missile or two, if she didn't get unlucky. However, the key to overwhelming point defenses is to have multiple missiles arriving on target simultaneously, so any good opponent would try to do just that.
(Note: we haven't fought a good opponent at sea since 1945. The last navy that could hope to cause a real problem for the USN in an all-out fight was the Soviet navy, and the Russian navy of today is still a ghost of its former self. Oh, could a smaller force get lucky? Sure.
Stark and
Cole are prime examples of how. Diesel subs are another. But we can't gear everything up for dealing with yokels in motorboats, because China is doing everything possible to turn out a blue-water, power-projection navy, and Russia won't be chilling out for much longer, either)
The BBs had as good a last ditch defense system as you could want, but they completely lacked any other air defense (SAMs). Of course, her advantage is that a typical (Exocet, Silkworm) ASM or two into the ship is mostly an issue for the poor seaman tasked with painting the hull on the next watch.
Mike