Just finished reading 'Days of Infamy' by Newt Gingrich & W R Forstchen, its a follow-on book from their earlier 'Pearl Harbor' in which Yamamoto had led the attack, which included a third wave - Oil Farm on fire and Dry Dock gate destroyed as a result.
So, in the this door they have the Japanese seek out the missing US Carriers. The two fast battleships do a bombardment of Pearl the next morning, accompanied by the two light carriers. One of them is torpedoed by attacking US Destroyers & Cruiser.
Enterprise takes the bait - comes hunting for the carriers with the battleships. The resulting battle - sees the Hiei badly damaged and barely moving, one of the light carriers crippled (remaining aircraft transferred to the other). And Enterprise also crippled surviving aircraft just make it to Pearl.
Next round is the Lexington (with a little help from Pearl) versus the Main Body - Akagi is sunk but also the Lexington.
The Hiei is finished off by a US submarine - and the Enterprise crawls back to San Diego. And Yamamoto is recalled to Tokyo - his thoughts are to finish off Wake, and follow up with Midway.
So what happens next, does Yamamoto get congratulated, or canned? What can FDR transfer from the Atlantic to the Pacific initially based at San Diego? Is the RN in a position lend any help? How long before Pearl Harbor is back to being useable?
The US's only consolation (although they probably don't know it) is that the Japanese have lost a lost of aircraft and crew, will take time to restock and retrain before the next operation.