We still are in the Ice Age
Actually, we still are in an Ice Age, the Pliocene-Quaternary glaciation which started about 2.5 million years ago. Historically, the normal state of the earth is not to be in an Ice Age, and has no ice at the poles. We are in a relatively warm period, but it's thought that whatever caused the current Ice Age is still going on with periods of 40,000 and 100,000 years between major glaciation (the last glaciation was 10,000 years ago).
I haven't heard any climatologist, even those who accept man-made global warming, claim that what we're doing now or in the near future will overcome this natural process. I suppose that if we burned every last bit of carbon we have, it could overwhelm this cycle but we're actually no where near doing that.
