I don't think that a discussion of morality begins and ends with biology, but it most certainly should include it. The idea that animals are not moral is probably easily shot down now by the fact of mirror neurons which reflect cognitions that are complex but do not acknowledge a distinction between self and other. This suggests that the brain structure is hard-wired to think collectively.
It would be reductionistic to think that all morality reduces to biology. I think there is an emergent layer of activity that is physically embodied in language and other cultural forms (collectively one might call this noology or the noosphere after Teihard de Chardin) that is based on but not entirely explained by biological mechanisms.
In fact, it is this layer (the noospheric layer) of the physical world that could be provisionally mapped to such terms as spiritual, God, consciousness, artificial and anything that sets itself against such terms as physical, worldly, unconscious, and natural. All of these terms are or are closely related to what I have called "whole terms" which are words that denote a whole set of all known things albeit with a specific connotation.
Identifying these distinctions requires an opposition that allows for a consciousness of difference. I think that the instincts are amoral in that they do not resolve their own conflicts and we as a collective require these conflicts be resolved so we have an extra-instinctual, biological space in which this is done. This space is noospheric, that is, it is one created by our individual and mutual cogitations, stored as culture and individual innovations.