What is a Good Capacitor?

That's not entirely correct.  One critical parameter of capacitors (and what differentiates a poor one from a better one) is its ESR (equivalent series resistance.)  Look for caps with the lowest possible ESR.  This enables them to charge and discharge faster (and thus perform better in high frequency operation.)  Cheap caps have poor internal construction and higher ESR values.  The most common method for determining capacitor failure is measureing high (sometimes infinity) ESR.  You need a specialized tester to measurte ESR, by the way.  It cannot be done with a standard multimetrer.

Has anyone ever discharged a fully charged 1 farad cap?  LOL that would be a site to see.  I've played with microfarad caps but nothing big.  Anyways.  What's probably the minimum wattage that a cap would do any good?  500 watts?  1000?

Does anyone how many amps a battery can instantaneously discharge?  It's not the CCA rating is it?  If it cannot discharge enough amps than what the amplifiers are demanding then connecting batterys in parallel like the pro's do will give you more amps thus eliminating the need of a capacitor right.

A guy at interstate batteries told me that the optima blue top I have acted as a big capacitor.  Do the optimas have a lower internal resistance than stock batteries?  How does the internal resistance compare to that of a capacitor?