Enh, seems to be only off by a factor 10, though IANAEE (I am not an electrical engineer). Forgive me if I'm missing a factor 1.44 or something, below.
Obviously you don't charge an electric car battery at 12 V. What the individual cells do is irrelevant, since they charge in parallel; the bottle neck is the cable attached to the car (and cooling, but hey, we're assuming magic new wonder battery tech, so I'll conveniently ignore that issue).
The highest power available using standard CEE (IEC 60309) plugs and mainline voltage is 3 x 125A x 230V, or about 86 kW. This is not normal in a home, obviously, but you can easily get a couple of these in commercial installations.
Ignoring losses (I know, I know), 86 kW means one hour to fully charge a Tesla Model S with the big 85 kWh battery pack, but that's also a big battery pack.
Charging the 48 kWh battery of the upcoming Model E to 70 % will take: 70% x 48 kWh / 86 kW = 23 minutes.
Now, I would've thought 3 x 125 A x 230V was about the limit, simple due to the weight (those cables are very heavy!). But apparently, Tesla Superchargers go beyond this, to more than 120 kW (340 A x 360 V), with possible plans for 135 kW or even 150 kW. (I guess if the cable is short enough, and you increase voltage beyond mains voltage...) This gives you 70% x 48 kWh charging times in as little as 17 minutes (120 kW) or even 13 minutes (150 kW). Still a far cry from 2 minutes, but then the 17 minute figure is using current mass-market technology.