There's always the possibility that this will set off some irreversible cascade of catastrophes, a tipping point of sorts that turns us into another Mars or Venus. But then again, who knows? Earth is self healing, self correcting. It might stabilize at some new point of equilibrium.

Underneath all that ice are vast untouched mineral deposits, potential agricultural belts, areas which could be reforested or managed as rangeland.

The rest of the world would be stripped of its mineral wealth,its forests denuded, and its agricultural lands devastated by climate change. Most human habitations would be under the sea, due to the 200 foot rise in the ocean level caused by the melted Antarctic ice. Most of humanity (about 80%) today inhabits the coastal plains of the world, they'll have to move to higher ground, which by then will have all its resources mined or logged, eroded away, dried up or otherwise plundered.

The civilization of the far future will have to move to Antarctica, the only place on earth left with easily accessible mineral resources and oil. It will be our second chance, our do-over. Of course, after the ice melts, there will be no soil, no wildlife, no natural environments or biomes. Just bare rock with patches of imported vegetation scattered about, with long, dark cold winters and long, sunny hot summers. We'll have to bring everything we need with us. And remember, we may kick back to some form of low-tech level, 19th or 18th century. It will take time to build back up to our present level of science and technology.

Maybe the ocean food chains will recover. There will always be plankton, and whatever eats it. Let them eat krill! Unfortunately, I doubt if the whales will make it.

No doubt there are already corporate think-tanks doing studies on how to profit from this new bi-polar world.

It would make a great science-fiction story.
You could call it "The Ends of the Earth".