Hallam said it best: there has never been a time when humanity has successfully and peacefully coexisted with nature.
That would be a nice quote, but it contains an implicit assumption which is seriously wrong: That there is any distinction between humanity and nature.
It's not surprising that we tend to see ourselves as distinct from the rest of nature, because we are dramatically different from all other forms of life around us, and not just because we're self-centered, or even because we're objectively hugely more successful than any other species. We're dramatically different because we're the only species we know of that is capable of creating explanatory knowledge, of conjecturing and criticizing ideas, individually and in collaboration, to understand how and why things work. Many species on Earth are capable of learning, but as far as we can tell it's all "behavioral" learning; understanding merely that specific behaviors cause specific results. Sometimes the results of that level of understanding can be quite sophisticated, as in the animals who can create and use tools in complex sequences to accomplish goals, but it's still on a completely different level from the ability that humans have to deduce deep explanations of the structure and nature of the universe, and how to manipulate it.
Regardless of the temptation to view ourselves as separate from nature, though, we're not. That doesn't mean we won't benefit from applying our understanding of the rest of nature to maintain the elements of it that are beneficial to us. Obviously, we're better off if we don't make the world a worse for ourselves -- the flip side of that is that we are better off if we make the world a better place for us, so stasis is not the goal. That's really good because stasis (aka "sustainability") is impossible.