After reading the chapter from Friedman's "Battleships...", regarding US battleship modernization, both proposed and actual, between the wars, I got to playing some "what if" games in my head.
Friedman states that the original proposal for the modernization of New York's engineering plant involved the replacement of not just the boilers, as eventually came about, but also installation of a 60,000 Hp turbo-electric drive as well. Essentially, the upgrade would see the installation of 1/2 of a Lexington class battle cruiser's propulsion machinery. i.e. 8 oil-fired boilers, to replace the original 14 coal-fired units, (the eventual work saw only 6 installed) two 30,000 Hp turbo-generators, and replacement of the massive triple-expansion steam engines with electric motors. While 60,000hp seems unremarkable, consider that her original machinery produced around 25,000.
I also speculated that, at the same time, changes to her main armament allowed an increase in the maximum elevation of her guns form 15 to 30 degrees. Also, changes to her main ammunition handling system (resembling the system in the Nevadas) eliminated the need to hand-pass powder from the powder flat to the gun-house, and two-speed power rammers made it unnecessary to ram the powder by hand, with a wooden pole.
I've tried to imagine what such a conversion would have meant, for New York's appearance during (and fate after) WWII. Such a massive increase in horsepower would have given her the potential for quite a bit more speed, so I speculated that early in the war, plans had come about to outfit her as a "cruiser killer", not as an escort but for commerce raiding. This second modernization involved the replacement of her 5"51 secondary and 3"50 heavy AA armament with 10 5"38s, in single turrets, like in Idaho. The intent being to drive off any escorts of an enemy convoy, and then chase down and sink the cargo vessels.
This upgrade saves her from "the big bang" in '46, and the New York Naval Militia requisitions her for use as their flagship. By 1948, they'd finished outfitting her for that role. I imagined some additional upgrades, due to the availability of war-surplus equipment, such as electronics. Also, as a training vessel, I felt she'd have more railings to keep uncoordinated noobs from unintentionally "taking the plunge".
I may change some details soon. The old props probably wouldn't do too well with 2 1/2 times the horsepower.