Thanks again eunectes.
One point about the teeth, rather than simply designed for penetrating feathers, they are likely an evolutionary convention that acts in a similar way that venomous snakes employ envenomation: safety. Also, they limit physical energy expense. Having those front mounted, long teeth has little correlation to diet. Since they are primarily arboreal hunters, capture of endothermic, arboreal animals needs to be assured. A dropped prey item means a great energy expense and risk to the animal while retrieving the meal. Or, if the meal is not retrieved, the energy spent on the ambush strike is wasted. This means the teeth correspond primarily to lifestyle.
There is ample data to support this, including the shape of the teeth and the actual pattern of motion the teeth undergo when striking prey. They are for holding, not penetrating. Not to mention, birds are part of a well partitioned juvenile diet that consists primarily of lizards, rodents, and birds.