Now, that's interesting; I'd answered this one. Never mind.
To get that, it's not going to require a cilmate shift, but stopping the Earth's rotation (tidal locked, same face always towards its primary, kike Earth's moon- actually "stopping" isn't precise - you're synchronising the day with the year.) Venus and Mercury are almost tidally locked, Next, to get your "Northern hemisphere /southern hemisphere" split, you're going to have to rotate the planet through the other dimension (North/south rather than East/ west) and stopped again. It would be much easier to get Eurasia facing the sun, while the Americas froze.
While the synchronisation of the orbit and rotation could happen naturally in a few billion years (well, actually the sun would probably expand and vaporise the planet before it got properly synchronised) or you could spiral the moon out, pulling rotary momentum with it, or make a huge lobe in the Earth's magnetic field which would, over a few millenia, interact with the sun's magnetic field to slow the Earth's rotation.
But if you had a colony on a planet orbiting a red dwarf star within the liquid water (inhabitable) zone, in all probability the natural state of that planet would tidally locked.
May I ask why you require these conditions, and what percentage survival on the planet's surface you require? I might be able to do it with a single comet strike, but the destruction would be impressive (consider as one of the problems the effect on the oceans of stopping the rotation. Tidal wave? It would be higher than mountain tops - weee! I doubt that 1% of humanity would survive, and species extinction would be in the same order.
G Wells "The man who could work miracles" only a bit more catastrophic, anyone?