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Buying the individual caps like that on Mouser is a sure way to lose money lol. You can get an assembled 500F/6 => 83F pack for only 40 bucks.
Yea I'm not surprised you can't start the car with all that extra wire. 250 amps is only momentary; the sustained starter current is more like 80, and even a wimpy battery is capable of supplying most of that. You only need the extra amps for that momentary surge at the beginning where the motor needs to start turning, then the current demand rapidly drops as the motor's back-emf rises.
Of course, with cold weather I think it's probably a good idea to get a bigger bank since you'll probably need several thousand joules to crank the engine, and the lead acid battery is going to crap out at low temps. The warmer it is, the less capacitor you can get away with.
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