After checking a lot of comparisons inside and outside Abyssea, it looks like:
Neck order:
Rancor > Calcitrant > Faith
Earring order:
Moonshade > Aesir > Tantra > Bruiser, except for Faith where Moonshade > Bruiser > Aesir > Tantra
Calcitrant+Moonshade beats Rancor+anything-but-Moonshade, but otherwise Rancor+anything beats everything else, and Calcitrant+anything beats Faith+anything.
This assumes the Calcitrant Stole provides +10 kick damage, since it comes 11 levels after our last kick damage upgrade.

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