I don't think the whole earth, including the poles, would entirely melt...
From the energy of trillons upon trillions of gallons of water pouring forth onto the Earth? I mean, we're talking about the "fountains of the deep", which, by virtue of proximity to the moletn mantle, are already superheated. But even if they weren't, the energy of friction involved would superheat the Earth to hundreds of degrees - yes, even the poles.