Gus, I am sure you already know this. The carrying capacity of the Earth for humans has already been exceeded......several times.
Each time the population declined significantly, then rebounded. As technology advanced, each "malthusian correction" occured at a higher population level than the last.
Genetics and anthropology combine to tell us that we humans came within a hair's breadth of extinction at least once in the not so distant past.
We have held old Malthus off decades longer than predicted via fossil fuel, mechanized agriculture and transportation, advanced pesticides, and even more advanced plant genetics.
But the next correction will happen, and when first world nations find their citizens starving, the ensuing warfare may well make the last human "near extinction event" pale by comparison.
