Another reason why Bugs should win: he's more interesting.
Wonder Woman is basically perfect right? I mean, save for that whole "tie me up and I'm beaten" thing (which Bugs could manage to pull off because it's not exactly the hardest thing in the world to do), she's close to Superman in levels of overall dominance. I know there are a lot of Superman fans, but he can be flat out boring at times, just like Wonder Woman.
Bugs may be a lot of things but he is never boring. He's funny, he's smart and he can do almost anything but above all else he does it with style. I'll take someone who can make me laugh while being all powerful over someone who is likely going to bore me with a speech about how amazing everything is and doing no wrong whatsoever because she's perfect.
Vote Bugs, the people and rabbit's choice.