the lights only dimm when the heavy bass hits and when the amps need extra juice. So for the split second, the amps will drain the extra power from the caps, and thus the lights dont dimm. After the bass hits, there probably be a couple seconds or less where there is no heavy bass notes so the alternator will recharge back the cap up. Hence the reason to get a good ESR capacitor and not some fancy mancy smuck.
Once the caps is charged already, it will wait for the next heavy load.
Same goes for your car battery. If the alternator cannot supply enough juice, the battery would not be able to cope up either, as it will take longer time to charge and discharge compare to a capacitor.
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