I was reading this and just imagined how huge it could be if the Battle Furys did stack. Here's what I had going on in my head:
Playing the Beastmaster, have a Steelclaw Grizzly pet, with Bear's Strength, in the same zone as my mage. Throw two Battle Fury cards on him for only 10 mana. He gets a full attack for 11 dice (7+2+2), then two quick attacks for 9 dice each (5+2+2). That's 29 dice in one action, with Piercing +1. Throw in a Tooth and Nail and you're negating the standard mage's armor. With a little luck, you could end the game right there.
If I'm wrong about those bonuses, please correct me. But if I remember correctly, since each attack is a new attack, he would get all of his melee bonuses on each attack.