i appreciate the way you have framed the question.
i wouldn't even attempt to provide an answer, as i find almost no value in the need/desire to fit oneself or others into tidy ideological boxes. (there are exceptions...)
looking at your core beliefs, some initial responses i have:
1, 2 and 3 have pretty much nothing to do with anarchy per se; they describe your worldview, but aside from maybe 2, i don't think they necessarily align with or against an anarchic view. moralism is highly questionable for an anarchist perspective, imo. how can there be an "absolute morality" without some sort of authority to define it? and when you talk about the human species being "naturally ego-centric", you are declaring a human nature, which is hugely problematic for me.
because both 4 and 5 presume the moralism previously articulated, i find both to be questionable at best. and your reference to "business relationships" in 5 is also quite problematic from this anarchist perspective. that seems to imply a mindset of economic systems and relations, which i personally find completely anti-anarchistic.
6, despite mention of hierarchy and coercion, continues your seeming reliance on "business" as a (if not the) primary means of relating. bosses and customers? not in my anarchy.
7 is the point that seems most resonant with me, although i am never very clear on what people mean by "will". and while i myself tend towards an individualistic focus, saying stuff like "collective is a bad word" just seems like moralistic word policing.
in general, i find your perspective - as articulated in those "core beliefs" - to be very prescriptive. which i do find problematic. combining that with your moralism and "business" focus, i would probably say you are not my kind of anarchist. but then, honestly, relatively few are.
i agree with dot that there are elements of individualist @ and possibly even a greenish @ perspective in there - though your valuing of specialization (and business in general) would conflict with that. i don't know enough about mutualism to say much about that. i do wonder if maybe you lean in the direction of a greenish-anarcho-capitalist. how's that for specialized categorization?!?!
a few questions for you:
do you think there is a single, correct way for all humans to live? and what of that applies to the non-human world?
how do you define "will"?
how do you define "absolute morality"?
how do you define equality?
how do you define "duty"?
you talk about all life being "equal", and of predation and competition in a negative way. would you also look to eliminate those "antagonistic" behaviors in the non-human world? or perhaps you are using those terms in purely economic context?
do you see the existence of entrepreneurs, bosses and customers as feasible in a world of anarchic relations?
would you say that the growth of a plant is "willful"? or the formation of a mountain?
anyway, i'll be interested to see what you and others have to say about where you fit in the realm of ideological categories.