High voltage to power electric cars.

Please bear in mind that I am not an electrical engineer so my
knowlege is somewhat limited. Now my question.
I presume that storing high voltage at low current is more efficient
than storing low voltage at high current? I also presume that
capacitors can be charged much faster than a lead acid battery? So I
was thinking why not charge up a bank of high voltage capacitors with
high voltage low current and then step it down to low voltage high
current using a transformer which then could maintain a charge on a
conventional lead acid battery that is operating the cars electric
motor. My thinking is that the caps could be charged fast and the
high voltage which is useless to run an electric motor, could be
converted to high current which is usefull for running a motor or
maintaining a battery charge. Now, could such a system have the
advantage of extending the milage of an electric car significantly
with out having to wait hours to charge?
.

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