Well the way I see it is, 1300 watts is going to need ~130 Amps.
My stock alternator is producing 105 amps, which is more like 50 at idle I'd say. Plus then at least 50 is going to my cars electrical system leaving 55 that is only available at high RPM. Seems like I need a lot more.
If you had an amp with a low 80% efficiency and a voltage of 13.8 (which is easily attainable with a hot running alternator) that's 113amps. Where are you getting that it would take 130? You could easily run your car and that amp with a 180amp alt.
