(The Zumwalt-class destroyer displaces ~15,000 tons, which is too large to be considered a cruiser under the terms of the inter-war naval treaties, and is roughly the displacement of a 1910s-era South Carolina-class battleship).
Thats still less than a half of the displacement of Warspite, third of the Iowas, let alone monsters like the Yamato class. And unlike Zumwalt, all of those had working guns. ;-)
On a more serious note a modern destroyer could sink any of those with long range missiles long before the batlleship could ever get into a range for a proper gun duel.
Not counting modern aircraft with yet more standoof missiles or even the anti/ship ICBMs that are being talked about.
Oh well, battleships were an elegant weapon for a more civilized age...
(The Zumwalt-class destroyer displaces ~15,000 tons, which is too large to be considered a cruiser under the terms of the inter-war naval treaties, and is roughly the displacement of a 1910s-era South Carolina-class battleship).