Fighting AbilityThis one is a close call. Michonne is deadly in The Walking Dead. She removes zombies heads in a flash. She's a survivor. But the Woody Harrelson in Zombieland and Natural Born Killers is one bad MF.
PersonalityIf judging Michonne's personality based on the TV show, then it would be Woody hands down. She hasn't really said much yet and unlike the character in the comics, she seems quite moody. She's like a withdrawn teenager. She's better in the comics. However, Woody is hilarious. Zombieland isn't a great film but it would be shocking if it wasn't for Woody's performance. I think he'd have you in stitches. Michonne, while deadly, would get boring pretty quick. Sure, you'd be alive, but it would be quite a dry existence.
ResourcefulnessI think this one would have to go to Michonne. I just can't see Woody existing on berries and leaves, whereas I think Michonne would keep you alive for years through foraging. She'd know which mushrooms to eat and what leaves to wipe your arse with. I think once all of the food supplies ran out, Woody would be running around like a headless chicken. He doesn't seem like the boy scout type. Michonne would also be able to survive without Twinkies.
StealthIn a world full of zombies, stealth is important right? It would get pretty tiring having to fight every zombie that you came across. Again, I would have to give this to Michonne because Woody just doesn't give a shit. In fact, Woody would probably revel in the chance to try and fight every zombie that came his way. Michonne, on the other hand, would be sneaking through the woods, saving her energy and only killing the zombies that she needs to kill. This seems like a more sensible strategy.