That is exactly what I'm focussing on now!
Indeed the flow surrounding and isolating Antarctica now is interrupted in the Tilted Earth, which could actually result in a more efficient energy transport to the South Pole, thawing this side of the planet.
One thing I'm not sure about is the energy balance around the Southern tip of Africa. As long as the ocean currents can go over it, they may protect Southern Africa against Polar air masses. Turn down the temperature a little bit, the currents get blocked and you might be looking at an African iceage. At the tipping point, you could have a surprising climate in Southern Africa, with warm wet summers and very cold dry winters. In any case, it will make all the difference for Madagascar.

At the same time the former warm Gulf Stream is pressed Southwards by the tilted North American continent, forcing it along a far longer route to Siberia. On one hand it is stuck in the roaring forties, which would result in a stronger current and more severe Westerly storms, stimulating a good marine climate around it on the American and Eurasian continents. On the other hand, by the time it reaches Siberia, it has been in colder lattitudes for so much longer than the actual Gulf Stream, that it might not be as efficient in warming the place up enough for a temperate climate, resulting rather in a subpolar marine climate.

Adding to this, that in the Tilted Earth, the South Pole is mostly marine and the North Pole mostly terrestial, this geography seems to result in a cold Northern hemisphere Vs. a warmer Southern hemisphere. This part of the reconstruction is also very interesting for exploring the thermohaline circulation theory and it's effect on the global climate.