I am a bench tech for a company that makes Salt Chlorine Generators, for your pool. The basic idea is to add a bit of rock salt to your pool (like 200 lbs), and put a "Cell" inline with your pool filter. The cell has titanium plates that the water passes through, and the voltage from the power supply is applied to the plates. The Na and Cl are split from the salt, the Cl, does its job of reducing or oxidizing the impurities, and then it naturally goes back to plain old NaCl. The power supplies I work on (fixing, and solving production problems) are 22-29V 8+ amp jobs based on a PWM (SG2525). Essentially its a big transformer and giant rectifier to get 45V DC, the PWM turns on and off 4 IRFP250 FET's in parallel to handle the power. Put a big ole inductor (with protection diode! Always remember the protection diode! Schottky's a must!) and a fairly large cap on the end of it, and viola, 29V @ 8amps. I've thought of doing this myself, I'm fairly certain that I could use it directly from the output to power the PA's. Rated at 250W, Can actually handle a hundred more before failure. Its a bit costly doing it this way, but very efficient and comparitively little noise.
EDIT: Just looked at your schematic, it seems to be based on a SG3525, and similar in design to the ones I work on. BAH, I understand your problem now! You want 12V input..... Gonna need to use another PWM, or maybe even an oscillator, and get your 12V into 12V AC, then into a voltage doubler or tripler. Then rectify, then put through the output FET's, THEN into your amplifier.
No easy way to make 12V from your car into the 45V+ you need for a 300W amp.