Looks good for your DC-motor stove. Most of us have variable-speed AC motors, where the power factor can be as low as 0.5 and effectively double the electrical load. My stove uses under 100 Watts, but is drawing 1.2 Amps.somebody check my math here...
Looking at it in terms of current draw, 1.2 Amps at 120 Volts is equivalent to 12 Amps at 12 Volts. Now add that 20% inverter loss and it's around 15 Amps to supply a small stove. So the car's alternator would need to provide 15 Amps in addition to the vehicle's normal electrical load and recharging the battery. That's a heavy load on the alternator at a 600rpm (or whatever) idle speed.