[L]et's assume that this mythology is true and, within about 25 years, computers will exceed human intelligence and rapidly bootstrap themselves to godlike status. At that point, they will aid us (or run roughshod over us) to transform the Earth into a paradise.
Here's the problem: 25 years is too late. The newest business-as-usual climate scenarios look increasingly dire. If we haven't solved our problems within the next decade, even these theoretical godlike AIs aren't going to be able to help us. Thermodynamics is thermodynamics, and no amount of godlike thinking can reverse the irreversible.