Climate change is not a problem
... not for the planet at any rate. In the past this planet has been hotter, colder, and even had a considerably different atmospheric makeup (more oxygen before there were many land dwelling vertibrates - must have been some hellish forest fires).
There have even been a few major mass extinction events, with the dino's going bye bye as the most recent (although it could be argued that we're causing one right now) - the Earth is actually pretty dynamic if you look at it on a geological timescale.
It's not just "Bang!" - 50% of all species drop dead; it takes a bit of time, a few million years for instance. Since hominids have only been recording history (in some parts of the world) for the last 5000 years or so we should not really have seen anything change globally in the entirety of recorded history. This is if we were having the same sort of impact on the planet as the rest of the species on it.
If we can actually notice the climate changing in one of our paltry 100 year (normally less) lifespans, it might be reasonable to assume that something pretty drastic is happening, pretty quickly. It won't really bother the planet overly much in the long term, just the organic stuff on it may have a few short term problems over the next few thousand years or so.