I hate to point this out, but according to admiral lee's operational report, had tf 34 been formed up and left at san bernadino strait, it would have consisted of the battleships iowa, new jersey, Washington, Alabama, Massachusetts, south Dakota, heavy cruisers witchita, new Orleans, light cruisers Biloxi, Miami, mobile, santa fe, Vincennes, with 18 destroyers. at the time of center force's entering san bernadino strait, it had the battleships yamato, nagato, haruna, kongo, with 6 heavy cruisers and 2 light cruisers with 11 destroyers. taking into consideration that the Japanese had been in under submarine and air attacks for 2 days, which left their crews very tired, plus the damage inflicted, would alone have given the u.s. fleet an advantage, plus, except for yamato, all u.s. battleships completely out-classed the Japanese. add in the far superior radar fire control of all u.s. ships, and any realistic look at this possible battle would show the u.s. fleet most likely winning, considering there were 6 new battleships, 2 heavy and 5 light cruisers, and 18 destroyers versus 4 battleships(3 of the old), 6 heavy and 2 light cruisers, and 11 destroyers. also, task force 34 was in the enviable position of being able to cross the Japanese "t", and considering how good a commander admiral lee was, I am sure that was his plan.