It's actually kinda weird. I could see Gordon/Breen winning the division, but I can't see Phoenix/Edgeworth winning it. And despite this, I think Phoenix/Edgeworth will win their round 1 match.
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http://images.wikia.com/finalfantasy/images/0/0e/Ffx-bahamut.jpg
Support Bahamut if we ever get another real contest.