This is quite an entertaining game, it follows stranded military doctrine somewhat. Aircraft carriers are your best overall ships, battleships in combination with bombers and carriers are capable of keeping the Yamato from moving, even managing to destroy her in one bomb run.
Anyone who says they beat this game in 7 mins is bullshitting. I timed it with fast forward going on while playing apocalypse mode. It takes about 22 mins to complete the game with fast forward on the entire time, so it's not really a short game, it just seems short.