There is just one rule in the zambie mafia:

Whack your enemies before they whack you.

Fortunately, you've got a crew of Mooks to do your dirty work. They may be brainless, but they're generally reliable. Just give 'em what they need and point 'em in the right direction. Sure, they sometimes forget what they're doing, but that's a small price to pay for undying loyalty, right?