8,000w RMS? What the hell kindof inefficient speakers are you using?! I've seen professional comp vehicles pushing 3k RMS and 8k PEAK. (these guys are hitting around 157db) Instead of trying to boost the alt and single battery, try putting a batcap in, or more than one battery, or put a few caps in series? single 50 farad cap is useless. Try using 20 .5 farad caps. Takes less time to fill a small cap in series than it does to fill a single large one. There's only 3 companies in the world really making caps, so it doesn't matter which one you buy, electrolyte is still electrolyte.
Best rig i've ever seen was he had 10 1 Farad caps in series, hooked up to 4 yellowtop batteries, single 200AMP alternator, and an isolator. He was driving 4 15" eclipse subs, a full set of MB Quartz components, and 8 Viper/DEI amps. (4 Monoblocks ~900x1 RMS 1300x1 peak, and a bunch of 2-channel amps for the rest)
Simple math can solve this problem. Lots of small add up, or put the strain on one large? I'll take the lots of small.