My siberian husky doesn't tolerate dog food we have tried several brands..?

He is 5 months old and he gets diarrea with dog food, he�s been wormed several times, but still any brand of dog food doesn�t seem to suit him, is it too bad to give him home made food (such as chicken and rice)? the vet says he'll get use to dog chow but it�s been 5 months... how long can it take him to get used to it? Also, he likes to hunt little animals and he eats them, once he ate a little bird and another time he ate an iguana!!! I worry that he might catch a desease. Is there a way to stop this?? thanks !!!