Well i wouldnt call it unsubstantiated, i don't claim to be an expert but i'm just trying to get the points i've taken in accross...
Basically, a 2 celsuis increase is what the EU and most climate-conscious organisations agree is the manageable threshold for climate change. An increase over this could possibly cause a much larger increase/change to occur. Because this increase could trigger much bigger events such as the melting of perma-frost in Siberia, for example, where 450 billion tons of carbon would be released if the area thawed (this is in the form of both carbon dioxide and methane, another greenhouse contributed, but both containing carbon). This would cause an irreversible change in our climate levels.
Also, as carbon dioxide is a greenhouse gas, this means that by radiative forcing, it basically warms the earth. If we managed to reduce the levels in the atmosphere, then it follows that this effect of radiative forcing would be lessened and therefore stop its warming effect on the earth and the earth would be able to cool better. The great thing about the makeup of our atmosphere is that it enables the planet to support life, we have a responsibility to everything on the planet, especially ourselves to keep it at the right levels so no catastrophic changes occur.