Yes, Haste is good. Attack a lot, and don't let your HP get too low. You might want to go back outside of the Warph and fill Tidus's and Wakka'a overdrive bar before going to ride the Shoopuf. If you have Tidus's Slice and Dice and Wakka's Attack Reels already, it will be a snap.

Alternatively, you can attempt to have Tidus use Provoke--it works about half the time--, that way you the Extractor will only attack Tidus with it's single enemy attacks. So you can just have Wakka attack, and then Tidus heal himself. Tidus's overdrive bar will fill up really fast and you can use his overdrive all while Wakka is just attacking. Either way, Haste is a big help here.