ok, first a little bit of math, because there's no such thing as a free lunch.
the top circuit requires 12V @ 60A, so to supply this using a boost converter with 2V input would require 2V @ 360A (and that's assuming 100% conversion effeiciency which isn't possible). good luck finding mosfets and diodes for the 2v to 12v converter in that current range. ok, let's assume an 80% conversion efficiency. 360/0.8=450A actually required at 2V to get 12V@60A. you will need 1000mcm wire for the 2V circuit, that's about 1/14" (3cm) diameter wire. you will need switching mosfets rated at 500A and schottky rectifiers rated at 500A. the coil will need to be wound with at least 0000ga wire, just the copper, transistor and diode are going to be several hundred dollars US. 12V batteries are a lot cheaper (a new car battery costs about $40.00US).
so you have to keep in mind the rule of conservation of energy.
watts out= watts in * efficiency.
if you convert down in voltage, the current goes up.
if you convert up in voltage the current goes down.
you always have losses, and they must be compensated for at the input.
the only device i have seen that can source hundreds of amps at 2V was a laboratory power supply that was used for calibrating ammeters. it weighed about 500 pounds. other than that, maybe a bunch of single cell lead acid batteries wired in parallel. again, a lot of weight