Man does not have the power to destroy the Earth. The Earth may be a small rock in a vast universe but it is still large enough to survive whatever we pitiful humans can do to her.
Mankind is not so sturdy. Humans are fragile bags of cells in a saline solution. We need the Earth to convert the sun's energy into food. We need the Earth's cycles to give us water to drink. The Earth is our home but we are parasites upon her not the rulers we pride ourselves to be.
The Earth has survived for countless eons and will survive for many more. As long as the sun shines and there is hydrogen oxide (water) the Earth will be a cradle for life. But the Earth does not care if that life is Trilobite or Sauropod or Homo Sapien.
We can continue to play with the Earth's climate. The Earth will change and abide. We can make the Earth inhospitable to our species but life will find a way. Perhaps some future species will develop civilization enough to ponder over the fossils mankind leaves behind. Perhaps they will marvel at a species so stupid, so arrogant as to foul the only planet we can call home.