The engine should
not charge the battery, at least not very much, that is what the house plug is for. and would be a waste of gas to do so.
The engine output is actually less than the motor at peak, so top speed and acceleration probably drop off, plus no means to cruise at bsfc without using the engine to drive a generator to drive a motor when the battery is shot.
I'll take a 75mpg corolla for long trips for 1/10 the money, thank you