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Kiki Kai World was the tentative name of the game for the western release before it got the name change to Heavenly Guardian. Apparently, the Japanese never got a PS2 version.
Anyway, both versions are pretty much the same game, although the Wii version lets you use the Wiimote to aim your shots (but your rabbit companion becomes the targeting reticle while you're aiming and thus is unable to provide cover fire until you point the remote off-screen). I wouldn't know any of the other more subtle differences, though, since I have the Wii version.
Fear my tasty portions, recreant! The Waterfall Ravine...