Well, fighting with Wolverine claws would be a bit different than fighting bare-fisted, so I don’t think Karate training will help much (not that it’s needed) when you go all X-men on the zombies.
On the other hand, I’ve always liked the idea of weapon-based kung-fu. Like, martial arts styles involving knives, since I know certain ones (e.g. Krav Maga) can be used with weapons. Some can even be used with guns in CQC.