First order of business is identification. Know your target! This one is a no-"brainer".
Somehow, "clueless" just doesn't adequately describe people who seem not to notice the zombies around them.
OK, quiz time. Could you pop a zombie that was breaking down your door? What if your neighbors were zombies, as in they wanted to "redistribute" your brains to the less-fortunate? Could you pop your neighbors? Me neither. That's why I'm leaning toward a "Galt's Gulch" solution. Discuss.