The Ice Age, probably lasting a few hundred years after the flood, served a purpose before the exit to Babel and elsewhere.
---Think about it. It gave time for foliage, fruit bearing plants and 
edible vegetation to expand on its watered heels. It gave time for the melting to produce rivers needed by traversing humans of the planet to access as well as craving out lakes.
It also gave time for animals to multiply and populate the earth--both for their own purposes---and for a food supply for humans,
As for the earth being off it's axis causing it's "tilt", which produces our weather patterns, much harsher than the luscious pre-Flood world, would be due to the asteroid bombardment of the planet that likely busted apart the global tectonic plate and the great deep bursting forth., ...the same day were all the fountains of the great deep broken up, and the windows of heaven were opened. Gen. 7:11
Also, those following the receding ice sheets likely are the ones who lived in caves for shelter (hence the evolutionary myth of the "cave man").
The warmer riverbeds made sense for the first civilizations to flourish---to establish an organized fertile farm, population growth and organized government (Euphrates-Tigris, Nile, Yellow & Indus river valleys).
In the below article from ZeroHedge, if one can look past any long age evolutionary timescales, one can get a glimpse of the post-Flood / pre-Babel world....
"What did the world look like during the last ice age?
Was it all endless glaciers and frozen ice?
The answer is a partial yes—with some interesting caveats.
Several large animals like the woolly mammoth, the mastodon, the giant
beaver, and the saber-toothed tiger roamed the world in 
extremely harsh
conditions, but sadly all are extinct today.
During an ice age, sea levels fall as ocean water that evaporates is
stored on land on a large scale (ice sheets, ice caps, glaciers) instead
of returning to the ocean.
Water levels in the ocean were more than 400 feet below what they are now, exposing large areas of the continental shelf.
The Bering land bridge, now a strait, connecting Asia
and North America. It is central to the theory explaining how ancient
humans crossed between the two continents.
In Japan, the low water level made the Sea of Japan a lake, and a land bridge connected the region to the Asian mainland.
Most of Canada and Northern Europe was covered with large ice 
sheets. The U.S. was a mix of ice sheets, alpine deserts, snow forests, semi-arid scrubland and temperate grasslands.
Africa had a mix of grasslands in its southern half and deserts in the north—the Sahara Desert existed
then as well—and Asia was a mix of tropical deserts in the west, alpine
deserts in China, and grasslands in the Indian subcontinent.
A “lost continent” called Sundaland, a southeastern extension of 
Asia which forms the island regions of Indonesia today.
It is predicted that temperatures will fall again in a few thousand
years, leading to expansion of ice sheets. However there are a dizzying
array of factors that are still not understood well enough to say
comprehensively what causes (or ends) ice ages. A popular
explanation says the degree of the Earth’s axial tilt, its wobble, and
its orbital shape, are the main factors heralding the start and end of
this phenomenon."
ZeroHedge