Well, if we care about our well-being, then I'd say yes, since we depend on nature to live. We could potentially live quite comfortable lives if we do. If not, then we're making our lives much harder or at worst, pretty much commit suicide.
And while it could be our collective choice as a species to take ourselves out of the picture, I feel it's unethical to take other lifeforms down with us. It's like a suicide bomber.
Also, a side note/thought/rant: I can't wrap my head around some people's complete disregard of nature with the fact that they have children. Do they not care about them?