I'll give you my answer, and hopefully you can share your thoughts (or other answers entirely) to help clarify my thinking.
I conclude that we draw a line between animals and other kinds of life because we are more like animals than other kinds of life. And "likeness with ourselves" seems like an arbitrary way of dividing life.
Extrapolating in the other direction: why don't we practice cannibalism, as other animals do? Perhaps we find cannibalism dangerous and impractical, but also that the typical human carries social instincts that make the behavior distasteful (which in turn leads to taboos in many -- but not all -- of our cultures).
One of my favorite expressions is that "there are no boundaries in nature". That is to say: all dividing lines between categories are invented, regardless of how useful those lines may be. And human constructs change with time and culture. The line between "destroying a someone" and "harvesting a resource" may depend very much on time and place.
I'm not trying to criticize your position, only trying to clarify my own. I would appreciate your thoughts (or links to the thoughts of others).