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CalBear will probably provide a guesstimate of the number of fighters the US can get operational in time for a 3rd wave and the likely japanese losses. The 3rd wave would have hurt the US, but the IJN too. Probably less, but they can less well recover.
After the two Japanese strikes, but before any sort of repairs on damaged aircraft were made the USAAF had
14 P-26 (which could actually be a threat to the D3A & B5N)
16 P-36A
25 P-40B
2 P-40C
for a total of 43 modern fighters and an additional 14 that were of use against the IJN attack aircraft. An additional 19 P-36 and 30 P-40 were shown as as damaged, I have not seen any accounting for the level of damage to the individual aircraft and how quickly they could have been repaired or made at least flight worthy (frex: If a plane has a fist sided hole in one wing and no way to get that fuel tank filled, it is clearly damaged, it can also clearly fly.)
The USN also had 14 SBD in flyable condition, these aircraft were, at the time of the attack, considered to be back-up fighters against enemy torpedo planes (they did carry two cowl mounted .50 cal, as well as the twin .30 cal for the rear gunner which had a 210 degree arc of fire), a role that they had some minor success performing prior to Midway.
As far as bomber assets, the USAAF had 4 B-17 D, 11 B-18A & 5 A-20 (which could also have been used as an anti-bomber interceptor with their 4 .30 or .50 cal fixed nose guns), while the USN had the aformentioned SBD, a few Vindicators, and 11 PBY.
The Enterprise was within shuttle range of Pearl Harbor well before sunset, of course many of the planes she did fly off were taken down by understandably jittery gunners on Oahu (a total of five aircraft of the sixteen sent off at 0618), but she had the potential of adding 16 F4F to the air defenses and 21 SBD to the bomber force (after subtracting the aircraft lost).
The American defenses showed considerable stiffening between the two strike waves. Given the fact that any third attack wave would arrive at least four hours AFTER the second wave departed, with the U.S. AAA defenses (which, as has been discussed here in the past, was fairly formidable, both Army shore installations and Navy weapons on board ship) fully manned and with plenty of ammunition, patrol aircraft and radars all in full operation, and over 40 fighters, it can be reasonably expected that IJN losses would have been fairly serious if any sort of third strike was attempted.