I think there's quite a bit of a gap in actuality between the occasion of Antartica's edges melting (as they appear to be, anyway; calving off in amounts beyond all historical records[1], some say) and causing the rest of the world problems in
addition to those caused by the loss of significant Arctic (and Greenland) ice, and the possibility of actually getting
useful Antarctic land as a replacement. What is it? An average of 1 mile thickness of ice across an overwhelming amount of the continent? That's potentially a lot of ice that needs to be removed.
Let's say we need to remove half a mile of height from just two million of it's 5+million square miles of surface, as a brute force assumption of how to get some usable land (it'll probably generate far less area than that, unless we can maintain a vertical ice-wall on the bits we're not bothered about, and target only areas that average a half-mile deep... so less in some and more in others). Going with that completely rough figure, that's 1 million cubic miles of ice. The density is about 91% that of water (need to look that up, though, going by memory), so the volume is roughly 910,000 cubic miles of water.
At (ooh, I need to look this up, and convert from kmē, which might mean I've misconverted) say approximately 140 million miles squared (whoops, I mean...) square miles of ocean (slightly less then, but then I'm probably underestimating how much over-spill there'd be), that's... oh, assuming I've not messed up the maths, that's ten metres of sea-level (ahem... back to Metric measures; bad me, however, to be switching back and forth), some of which will probably also overspill some of the Antarctic land that we've just 'liberated'.
Of course, there's always the Dwarven Megaproject way. Carve huge chunks of glacier
only off of chosen bits of land (leaving strong ice-walls at the edges, especially at any sea edge), and divert magma up into some middling area to offset the cold sump of air that would result, and/or cart big lumps over to convenient anchorage points in the Southern Ocean to build huge ice 'vanes' that can redirect the prevailing winds that we want onto the continent.
(Yeah, I've
definitely gone into fantasy there.)
[1] Not
too extensive, admittedly