From: Somewhere in the South Pacific.
The FULL KB is nothing to mess with as the Allies early. But a "split" KB far away from home can be a good opportunity for the Allies in early 42 if you can mass 3-4 CVs against it.
I have tattooed on the back of my eyelids... 'don't go anywhere near KB, in 1941-42', no matter what, never ever, with anything that floats.
Kaga and a few CVL's or even 1 division of KB, doesn't make a full KB. If you Have 3, or even better 4 large flightdecks, and are under your LBA search, Maybe. But you are taking a big gamble, and an intact carrier force is a better deterrent in 1941-42 that one on the bottom.
When you see the Southern Cross, For the first time
You understand now, Why you came this way