Your stock alternator is only 80 amps, that is your problem.
By the description, I'm assuming you've done the "Big 3" as mentioned and all your cabling is up to snuff, except that alternator? If not, get that cabling perfect!
Ya, if you don't mind rigging up a second alternator, go for it. You're competing as you said, so both alternators must work together. That is, you cannot give one alternator to the car, and one to the stereo, that's against the rules. You may be better off pulling off that 80 and bolting in a custom 200 amp alternator.
Rob V.O. is the custom alternator man 'round these parts. And I know he's done Honda's like yours before. Send him a PM, he'll have ideas for you to mull over.
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