It's difficult, because the Federal 595 Standard is a modern-day color system, whereas the WW2 era colors, and ANA colors of 1943, are no longer around and being used by a government entity, so there's no specific reference.
That being said, I've matched the colors as closely as I can in various types of lights, and here's my approximations:
USN WW2 colors
Pale Gray 5-P FS 35526
Light Gray 5-L FS 36320
Haze Gray 5-H FS 35237
Ocean Gray 5-O FS 35164
Navy Blue 5-N FS 35044
Deck Blue 20-B FS 35042
Dull Black BK FS 37040
Hope that helps.
Jeff