depends how you run the system. if you actually output 5kW, your power draw on the system is 6250W (assuming 80% efficiency) which relates to 425A at 14.7VDC at that output, your alt won't keep up and your voltage will drop to your battery voltage. as voltage drops, power output drops.
so with your plan, you'll never see the rated output of your amp since you can't maintain the supply voltage necessary. funny, eh?