ORIGINAL: jumper
If he would split his KB and operate those parts separately, joined US/RN CVs could hold their ground against them, but at the current circumstances it will make nearly no difference IMO. You can´t fight against full KB yet and RN CVs will not change it. You won´t be threat for him until corsair arrives, if he will keep KB together..
BUT have you consider moving US and RN CVs to Perth instead of only british CVs to Pacific? What about a raid on Palembang or Java? As it looks now, you can´t use US CVs anyway in Truk area while KB is around.. And KB is not tied to this theater because of your CVs, so you can use them elsewhere. Take it as oportunity. Now you know, where KB is (with good part of LBA) and it means all other places are open to raid.. Or if you think Perth is too far away, you can make much shorter trip and raid his supply lines west of Wake. Hit and run..
Perth is too far away and the brit CVs will however have to pass through the nails of the Indian LBA....mmmm.... I already thought about a raid with my only 3 operative CVs at Marcus Island, trying to catch some of his shipping lanes...but i'm waiting for the July upgrades....mmm...yes, maybe it's not a bad idea. It will keep him honest at least.
However the problem remains: the whole RN and thousands of British troops are stuck at Aden without a chance of threating the Japanese Bastards...