A melee attack or an explosion will always break the mask. The only way I've discovered is to setup the Rake by the wood chipper and have the Guitar handy so you can stun the Baby before running off with the mask. Dropping the crate works also, but the dust can sometimes make it hard to see the mask. The Baby and the Mother will act as normal while wearing it, but the Father will not attack. This wont work if the Father discovers the remains of his offspring.