I accept both, and especially the second, but I'm not anti-human or anything. It's just that we have really, really, rocketed past the rest of life on Earth, evolutionarily speaking. We destroy species, entire ecosystems, accidentally with little effort and often without even noticing until after the fact, if we notice at all. We are probably within the next 100-500 years going to reach a point where the existence of other life on Earth is not necessary for our survival. We have already passed the point where we can kill off most of it, perhaps all.
So, I don't know if you could say we have a "responsibility" to other life on Earth (although I tend to think we do), but, if we want to keep it around in anything resembling its current form, we do have to consider ourselves as apart from it in some sense. If we engage the rest of life on Earth as equals, we will likely kill most or all of it off, because there really is no contest.