The two most important navies to take part in WWII were the United States Navy and the Imperial Japanese Navy. Sorry UK, but yours was third.
That being the case, and the fact that the CV group is American, I'd like to see a Japanese BB group.
I've diagramed a couple of ideas. To start with, here are the ship classes that I'd prefer.
Akizuki Class DD
Displacement: 2,700 tones standard, 3,700 tons full load
Dimensions: 440'3" x 38'1" x 13'7"
Speed: 33 knots
Armament: 8 x 3.9"/65 DP
up to 51 x 25mm AA
72 DCs
Crew:300
Ships Built:Akizuki
Teruzuki
Suzutsuki
Hatsutsuki
Niizuki
Wakatsuki
Shimotsuki
Fuyutsuki
Hanatsuki
Yoizuki
Harutsuki
Natsuzuki
Takao Class CA
Displacement:15,781 tons
Dimensions:661'9" x 68'0" x 20'9"
Speed:34 knots
Armament:10 x 8"/50
8 x 5"/40 DP
up to 66 x 25mm AA
16 x 24" TT
Crew:773
Ships Built:Takao
Atago
Maya
Chokai
Nagato Class BB
Displacement:42,850 tones
Dimensions:725'2" x 113'6" x 31'2"
Speed:27 knots
Armament:8 x 16"/45
20 (later 18) x 5.5"/50
8 x 5"/40 DP
up to 98 x 25mm AA
Crew:1,368
Ships Built:Nagato
Mutsu
Yamato Class BB (late war)
Displacement:71,659 tons
Dimensions:862'10" x 121'1" x 32'11"
Speed:27 knots
Armament:9 x 18.1"/45
6 x 6.1"/60
24 x 5"/40 DP
up to 150 25mm AA
Crew:2,800
Ships Built:Yamato
Musashi
OK, so those are the ships that I'd like. Here are the fleet suggestions that I have:
Nagato BB Group:

Yamato BB Group:
