How can you get enough current to run an EV with a battery cell the size of a pack of cards.

Well depending on how the terminals are connected a cell that size might well be able to pump 1000 amps or 100 amps. or 10 amps depending on the design and connections but let's look at what it takes.

I used to drive a compact car 30 HP. yup. just 30 HP..

30 hp is roughly 30,000 watts draw on the battery (1KW per HP) and of course you only use the full 30 when you put 'The pedal to the metal" as they say.

30,000 watts at 12 volts is 2,500 amps

At 48 volts it's 625

Series parallel you might get down to 6 amps per cell or less.