To charge an 85 kWh in 5 minutes would be ~1MW which seems beyond home charging capacity.
Even more out of reach if you want to double the capacity
Even more out of reach if you want to double the capacity
It would be pointless to attempt this directly from the grid, but IMHO charging a home battery slowly and using that to charge a car quickly when needed, will become practical soon. The grid would only need to provide as much power per time as you could spend driving your 1-2 cars, so perhaps 50-100KW.
On the other hand, it's well within the range of a conventional car engine cooling system: http://what-when-how.com/automobile/forced-circulation-water...
It depends somewhat on how hot the hot side can afford to get. The "weak link" will be getting the heat out of the cells themselves - it's no good if you can cool the exterior to 20C if the interior exceeds the safe limit of the cell.