I've been fighting this battle for 10 years, and made some enemies out of car audio salespeople for saying this:
There are 2 different reasons that the cap didn't help your dimming problem.
First, capacitors aren't designed to stop lights from dimming. They're designed to aid in keeping constant power flowing to any device needing an immediate burst of power, in this case your amplifier. When the bass hits, the amps requires more power to operate, and if the electrical system can't supply the juice needed as quickly as it's wanted, a cap will help provide it. One of the possible pleasant side effects of this is that other electrical devices don't get robbed of the power necessary to run them properly (your dimming headlights). Factors determining this are: 1) capabilities of your existing electrical system [80 amp alternator, anyone?] regardless of your battery; 2) current draw of your amplifiers; and 3) size and quality of the capacitor [we'll cover this one in a minute]
So, we start with the electrical system. Like I said, an 80 amp alternator is the minimum that this car can get away with, having all the power options that it does. The battery, to a point, is irrelevant since it mostly is there to power the car when the ignition is off. I've never seen a battery that performed as good on it's own as it did with an alternator behind it. Don't believe me? Find the person with the most expensive battery you can find, and measure it's voltage with the car off, then with the engine running. Guaranteed it's going to be higher with the car on. So, once our current draw exceeds 80 amps, it's all up to the battery, and chances are, it's going to drop.
1stMP3 can probably fill us in on how much current those amps actually use. I don't have the slightest idea. Just add that amount to the current draw of the ignition system, the other electrical accessories in use, including the headlights, parking lights, taillights, neon tubes, etc. and you see where we're going.
As far as the size and quality of the capacitor, I read the spec sheet for a Pheonix Gold cap similar to yours, and was pretty pissed to see how they came up with the figure of 15 farads. I'll look for it to show you, but it was similar to how some audio companies rate amplifier power at max. rating with 10% distortion at 1KHz. Not an accurate measurement. I highly doubt that your cap is capable of what 5 can-style caps would do, although I would still hesitate to buy a bunch of caps to stop my lights from dimming.
Wow, I really know how to over-analyze, sheeeze! Hope this plethora of info gives you some insight into your issues.