Normally, discussions of climate refer to the last 12k year interglacial period as having come out of an "ice age". You're using the broader geologic term referring to any presence of any polar ice cap as an "ice age", which would cover the last 3 Million years. So what you're saying is that in the 300k years homo sapiens have never existed outside of an "ice age" and that the our speciation (eg in savannahs of Africa) was driven by the many glaciations of this current Ice Age? Even homo habilis hasn't been around that long.

That's saying that since the continents and earth's currents haven't changed, we're in the same age, AMOC is a minor technicality, and the oceans would need to rise to the straight of Panama to be significant.