Actually I doubt we do disagree and if we do we're friends right?
BTW I hope you saw the end of my post, I was editing as you posted.
I certainly agree about human's driving tasty animals into extinction, that why I excepted Hunter-Gather activities. Interesting to speculate that we may have ended up killing MORE species if we had NOT agrarianised and industrialised (Rubbish, of course. We would not have been successful enough to have had the same population pressures).
Also you're right about speciescentric attitutes. That's why I
DO see the activities of humans as being part of the natural selection process.
Strange, perverse, unique and horribly destructive as we are - we are part of the natural order. Our effect on other species might be the same as that of a natural catastrophe, but it still promotes adaptation (think of the change in the size of elephant tusks over the last century because we weeded out all the really big tuskers. Big tusks became an anti-survival trait).
At the same time we are encountering/causing mass extinction, we are also seeing (as in other M.E.s) a flurry of adaptive processes to cope with US.
This, in a strange catch-22 way is part of the problem - and the irony. It is our unique level of sapience which allows us to ask the qustion, 'What SHOULD we be doing' and ask it as a moral question as well as utilitarian.
I think you can imagine that I am actually passionate about preserving bio-diversity and our maybe-sapient cousins especially. But it is our biologically inherited attitudes which endanger these species and also our evolved traits of empathy which may preserve them.