The proposed Montana-class battlewagons appear in those depictions to be about the same size as the Japs’ Yamato & Musashi battleships.
Good thing the Navy continued its by necessity forced conversion to aircraft carriers. A flattop not only carries its own air defenses but projects them onto enemy targets.
IIRC, the Jap battleships without air cover didn’t last long under Navy air attack.
Also, they were designed to keep the British in line. People forget just how prominent the British empire was at the time. The Montana’s were canceled after the US knew Britain was broke.
And there was the Alaska Class of battle cruisers that were designed and built during WWII. The USS Alaska and Guam were actually launched, while the Guam was never completed
https://en.wikipedia.org/wiki/Alaska-class_cruiser
The North Carolina, South Dakota, and Iowa-class battleships all involved design compromises.Battleship design was restricted under the Washington Naval Treaty. Reportedly, upon reading out the proposal, there was a moment of dead silence, then the roomful of negotiators and diplomats burst into a thunderous ovation. And it worked as a way to avoid an arms race, I mean, other than World War II.