Would an alerted American fleet fight Kido Butai in a surface gun battle?
Short answerProbably not; Japan would rely on its carrier advantage, because a direct gunfight with the American battle line would be unfavorable.
NotesA battleship gunfight would go badly for Japan, so Nagumo should avoid allowing the battle lines to meet. The Imperial Japanese Navy held the carrier advantage at this date and would try to decide the engagement through air strikes. A surface engagement favored the American battle line. Japan's operational preference would be to keep the fleets apart and use its larger carrier force.