no. thats like saying if you had two hearts they would both pump as hard/often with the same vascular system.
you have to think about things the other way. your car needs amperage, so it "tells" the battery (or batteries) to provide it. it (they) does. the alt outputs the same amount of current based on RPM no matter what. it will charge whatever needs to be charged in the system, be it lights, the headunit, a capacitor, or battery. when the battery can not provide the car with what it needs, the alt compinsates as best as it can to a limit. when it can't, the battery (or batteries) provide the juice and "wait" until the required draw drops so it (they) can be brought back up by the alt.
technically if your system was performing fine and maintaining correct voltage, you could add 50 extra batteries and not notice a difference (assuming they are all healthy and ignoring resistance, etc.).