36 fixed-wing fighters + 12 rotary-wing aircraft is about right. The Kitty Hawks could theoretically carry up to 90 aircraft, but that's from the 60's. In her 2000s configuration, the USS Kitty Hawk only had a capacity of 70 aircraft. Even then, you don't want to carry more than 70-80% of your capacity because you need space for maintenance and other operations on board. That considered, 50-ish aircraft total is perfectly reasonable.
Also consider that the J-15 is a big fighter, measuring in at 22 metres long (vs the F/A-18 E/F which is just over 18 metres long), which means that it takes up more space. For reference, the Kitty Hawk's standard air wing in the 2000s was only 40 fixed-wing fighters. If the 003 can carry 32-36 J-15s, 3-5 AEW aircraft, and 10-12 helicopters, I would be quite satisfied.