What may be a better option for the Japanese battleship may be the Ise class (pre-hybrid). This gives a 12 gun to 12 gun face-off with a Pennsylvania class.

The twelve 45-calibre 14-inch guns of the Ise class were mounted in three pairs of twin-gun, superfiring turrets. Numbered one through six from front to rear, each turret weighed 655 long tons (666 t). The hydraulically powered turrets had an elevation capability of −5/+20 degrees. The guns had a rate of fire of 1.5–2 rounds per minute and could be loaded at any angle between -3 and +20 degrees. In 1921 the elevation was increased to +30 degrees and then to +43 degrees during their mid-1930s modernization, except for No. 6 turret as its supporting structure could not be lowered. The recoil mechanism of the guns was also changed from a hydraulic to a pneumatic system, which allowed for a faster firing cycle of the main guns.
By World War II, the guns used Type 91 armour-piercing, capped shells. Each of these shells weighed 673.5 kilograms (1,485 lb) and was fired at a muzzle velocity of 770–775 metres per second (2,530–2,540 ft/s). They had a maximum range of 25,000 metres (27,000 yd) at +20 degrees of elevation and 35,450 meters (38,770 yd) at +43 degrees after modernization. Also available was a 625-kilogram (1,378 lb) high-explosive shell that had a muzzle velocity of 805 metres per second (2,640 ft/s). A special Type 3 Sankaidan incendiary shrapnel shell was developed in the 1930s for anti-aircraft use.
The ships' secondary armament consisted of twenty 50-calibre 14-centimetre guns. Eighteen of these were mounted in casemates in the forecastle and superstructure and the remaining pair were mounted on the deck above them and protected by gun shields. They had a maximum elevation of +20 degrees which gave them ranges of 16,300 metres (17,800 yd). Each gun had a rate of fire of up to 10 rounds per minute. Anti-aircraft defence was provided by four 40-calibre 3rd Year Type 8-centimetre AA guns in single mounts. The 7.62-centimetre (3.00 in) high-angle guns had a maximum elevation of +75 degrees, and had a rate of fire of 13 to 20 rounds per minute. They fired a 6 kg (13 lb) projectile with a muzzle velocity of 680 m/s (2,200 ft/s) to a maximum height of 7,500 metres (24,600 ft). The ships were also fitted with six submerged 53.3-centimetre (21.0 in) torpedo tubes, three on each broadside. They carried twelve to eighteen 6th Year Type torpedos which had a 200-kilogram (440 lb) warhead. They had three settings for range and speed: 15,000 metres (16,000 yd) at 26 knots (48 km/h; 30 mph), 10,000 metres (11,000 yd) at 32 knots (59 km/h; 37 mph), or 7,000 metres (7,700 yd) at 37 knots (69 km/h; 43 mph).
A twin-gun 127 mm mount on board the battleship Nagato. The mounts used on board the Ise class were the same model.
In 1931–33 the AA guns were replaced with eight 40-caliber 127 mm (5.0 in) dual-purpose guns, fitted on both sides of the forward superstructures in four twin-gun mounts. When firing at surface targets, the guns had a range of 14,700 metres (16,100 yd); they had a ceiling of 9,440 metres (30,970 ft) at their maximum elevation of +90 degrees. Their maximum rate of fire was 14 rounds a minute, but their sustained rate of fire was around eight rounds per minute. Two twin-gun mounts for license-built Vickers two-pounder light AA guns were also added. These guns had a maximum elevation of +80 degrees and a rate of fire of 200 rounds per minute. The pair of 14 cm guns on the upper deck were removed at this time.
During the mid-1930s reconstruction the torpedo tubes were removed and the Vickers two-pounders were replaced by twenty license-built Hotchkiss 25 mm Type 96 light AA guns in 10 twin-gun mounts. This was the standard Japanese light AA gun during World War II, but it suffered from severe design shortcomings that rendered it a largely ineffective weapon. According to historian Mark Stille, the twin and triple mounts "lacked sufficient speed in train or elevation; the gun sights were unable to handle fast targets; the gun exhibited excessive vibration; the magazine was too small, and, finally, the gun produced excessive muzzle blast". These 25-millimetre (0.98 in) guns had an effective range of 1,500–3,000 metres (1,600–3,300 yd), and an effective ceiling of 5,500 metres (18,000 ft) at an elevation of 85 degrees. The maximum effective rate of fire was only between 110 and 120 rounds per minute because of the frequent need to change the fifteen-round magazines. In addition the forward pair of 14 cm guns in the forecastle were removed at this time and the maximum elevation of the remaining guns was increased to +30 degrees.
(I wonder if coding the torpedo capability for the BBs abd DDs would be a monster or not)?