>The notion that this growth is unsustainable is scare mongering.
Exponential growth makes this statement as wrong as it can be. It may be scaremongering to say it is unsustainable in the short term, but eventually that growth will have to stop, either due to voluntary decision-making on the part of humans everywhere, or due to a scarcity of resources. Or in fact both, given that the scarcity of resources will cause people to decide on reproducing less.
Growth in general is simply not sustainable in the long term. Isaac Asimov once estimated that at "today's" rate of growth (circa 1970), Earth would become a ball of human flesh expanding at the speed of light by 5000AD. Of course its a ridiculous prediction, but it illustrates that between now and then, something must change.
Look at this chart: http://en.wikibooks.org/wiki/File:2nd_Order_Damping_Ratios.s...
Assuming 1 here refers to the maximum "sustainable" population, we'll either oscillate around it, overshoot and come back, or asymptotically approach zero percent growth. There is no such thing as a system with no feedback, which is allowed to grow without bound. It may seem like there are no constraints currently, but they're out there, and eventually we'll hit them.