I think niether the Ice Age nor Global Warming exist.
While 10k years ago much of N. America and Europe were covered in ice, this was not a global climate, I mean the planet as a whole wasn't frozen. There's a theory that they were covered in ice because they were at a different longitudes than today, with respect to the magnetic north pole. Actually that the north pole was in north america. The new position of NA is from a global crustal displacement which placed NA where it is today and placed Antartica to the south pole at the same time. Most of the evidence for the Ice age is from NA with some from Europe and I don't know of any evidence of it in other continents.
I think the weather is getting hotter as a result of natural fluctuations in the global mean temperature, not 'Global Warming'.
Now, if I assume that both exist, I would say that your model seems more plausible than the affects of the greenhouse effect.
For those people who believe that the Greenhouse Effect is causing Global Warming...Don't be afraid. We wont destroy the planet. The worse we'll do is make it uninhabitable for ourselves, allowing it to recoupe from what damage we have done. Heck, A giant asteroid blew off a whole chunk of the planet, forming the moon, and it recovered from that. I think the worse we could do is set off all the nukes at once, but some life would survive and we'd just be restarting evolution.