I didn't say "uninhabitable," although, yes, FYI, major climate models do predict certain areas becoming uninhabitable due to intolerable wet bulb temperatures. I said "liveable," as in "can sustain some modicum of semi-modern civilization." That's a far lower bar.
Meanwhile, we have a technology we literally cannot build enough of in the next 5 years to stop any of this from happening. And, if we continue to burn fossil fuels, once we exhaust them, we'll literally reach C02 levels not seen since the Cretaceous period, when temperatures were 10 C above the pre-industrial revolution era. How does that benefit the global south, or anybody?
I do not believe you have thought this through. You bring up so called "opportunities" forecast by climate change models, yet fail to consider that we're already looking at severe weather events such as floods, storms, and heat waves, that would normally be 1 in 100 or 1 in 1000 events, starting to happen on a multiple times a decade time scale. It's not possible to build in the face of that; even insurance companies are recognizing that today.
It’s funny to me when people point to weather events and blame climate change. Yes there will always be some place in the world experiencing extreme weather events, and climate change will change the distribution of extreme weather events so that some places become more extreme and others become more mild. I wouldn’t want to live in California ;-)
The predicted higher temperatures existed in the past and had some of the highest archeological rates of biodiversity. Thats not to say the outcome will be all positive; certainly some regions will encounter issues during the transition, but there’s also going to be a lot of opportunity opened up within the range of predicted outcomes by climate models. Increased agricultural production in northern regions, less cost of heating in many heavily populated areas, and of course new transport routes across the arctic. That’s not to mention all of the benefits fossil fuels are bringing to people much poorer than you in the global south.