Evolution:
- it needs a population
- the population mutates
- mutation guarantees diversity
These are facts relevant to evolution, not tenets of a belief system.
Much like "Engines can transfer force to a drive shaft" is a relevant fact relevant to engineering motor vehicles, not a tenet of the mechanics faith.
- diversity spreads across species
I'm not totally clear what you mean by this point.
If you are referencing that benificial traits will tend to spread across a population over many generations, then this is trivial consequence of natural selection and we have seen it demonstrated many times.
Again a fact, not a tenet.
- being across species tests the repetition of these tenets
This doesn't make sense.
Can you explain what you mean?
- repeating them responsibly makes you an Evolutionist
This also doesn't make sense.
Evolutionist is typically just a label for someone who accepts the scientific theory of evolution as an explanation for the diversity of life.
- As an Evolutionist you care about nature
- Caring about nature, you do things to save nature?
- People that know you are going to care, spread word??
It's the bit marked with question marks, that I am asking you about now. Where are your works?
These have nothing to do with accepting evolution.
Many people who accept evolution as a fact also care about nature... but some do not.
Some people who accept evolution see it as a reason to disregard nature as it will just bounce back and adapt anyway.
Evolution is a physical process and a scientific theory that explains that process.
It is not a theology, a philosophy of life or a possession of an individual.