The only question that needs to be asked is why is it now referred to as "climate change" instead of "global warming"?
Because global warming is not the only side-effect of the rising Carbon di Oxide levels that we face. The ongoing droughts in many parts of the world, for example is another aftermath of rising CO2 levels. So climate change is the ideal terminology.
Exactly. Don't forget about the increasing ocean acidification which has profound effects on marine life, the accelerate migrations of plant life in various microclimates, and potentially even impacts on the frequency of severe weather events (e.g. hurricanes), all due at least in part anthropogenic CO2.
Hence we refer to it as climate change, because far more than the average surface temperature is changing.