If you have your system wired correctly there shouldn't be any draw on the battery from your subs and amp with the car and ignition turned off, if there is it is NOT wired correctly, because you should be using the turn on signal from the head unit to turn on the amp and when the radio is off so is the amp= no power draw. Am I explaining this simple enough for you?
Besides the fact that you sound like a prick, I think you explained it clearly enough. After reading this thread, it sounds as though there has been a ton of S*&t thrown around so let me sum this up in a clear and concise manner.
1. Your amplifiers are turned off by the head unit. When your stereo isn't on, there should be no draw from your amplifiers.
2. If you are running a high power audio system, a capacitor can and will help level out the voltage input into the amplifiers by acting as a small voltage buffer between the varying voltage demand of the amplifier and the fairly constant out voltage of your alternator struggling to keep the voltage constant. So yes, they do work however this will not fix your issue.
3. It sounds like you have an issue with your electrical system discharging constantly, even when it shouldn't be. This is a totally different issue that should be explored further to figure out where the draw is coming from. Could be a small short somewhere, a faulty amp, relay, capacitor....
4. A secondary battery in will extend the life of your car, more battery capacity is more energy storage, but again, thats not your issue. You have plenty of electricity assuming your alternator is working correctly and your battery isn't bad, but you seem to be draining that electricity much to quickly.
All this being said, we on this forum can't help with your discharge problem, only point at one of the zillion things it could be. If you are not comfortable going through this process then I would take it to any auto mechanic who should be able to solve your problem quickly. Sorry for all the confusion in this thread, we all have our own opinions with some of it biased on fact, and some not.
Best of luck!