Note that there is no evidence in the fossil record of the Archangel Gabriel descending, and there is also no evidence of an ice age ever occurring with CO2 at current levels, never mind the levels we are projected to achieve later this century. It's much easier to assert the impossibility of those events.
There *IS* fossil evidence of rapid sea level rise, and we don't have a solid explanation for exactly how that happened -- meltwater, for example, requires an extraordinary amount of in-place melting (takes a tremendous amount of heat), and we have the additional fun of punching up CO2 at an unprecedented rate, so we cannot take past events as an upper bound on what we might observe.
There is the additional risk-unpleasantness of the arctic icecap melt completely outrunning theoretical predictions, and the obvious linkage between Greenland and the arctic ice cap. I'd be much more comfortable rejecting Hansen's claims as lacking a proper theoretical explanation if the proper theoretical explanation had not already been proven far too conservative in that region of the world. That's a huge problem.
And again, I'm not saying that Hansen is right -- I am saying that we don't have a comfortable level of certainty that he's wrong. I'm not normally a fan of exponential curve fits either. Unfortunately, he's a climate scientist, and I'm not (and as far as I know, you aren't either).