Like horses and dogs? It would be worth losing some animals if it means safeguarding the group.
Probably wouldn't work. From what we've seen so far in the comics and series, the zombies get distracted pretty easily once whatever they are munching on is dead. A zombie plague that actually stopped to eat what it's just killed would be fairly easy to contain, Dale would have survived that night if the Zombie'd been to busy chowing down on the cow.
Plus again, why waste good meat? Foods limited enough, you don't want to miss out on Kentucky Fried Poodle.