>>Why do you put Man outside the natural system?<<
Because we are.
We value a human life. YOU may not, but anyone with a lick of sense does.
When things get tough, animals kill other animals of their species. Dogs eat puppies, hamsters eat other hamsters, etc.
Glad you consider yourself with the hamsters. I’m well above that, thanks.
The human experience, sadly, is not outside the set of behavior patterns you just described. Just the other year, this German man ate a willing victim.
All you need to do is venture into the wilderness alone for a week, to teach yourself how much you are part of the natural system, and impacted by its properties.