Not sure removing rectifier would work as you then have to spin alternator at 60hrz / have a governor of some sort. It's been a long time since I studied magnetic fields in physics but I think it'd be a bit of work to get a auto alternator to do 120v AC. Although I've thought of that more than once and would be super cool.
My thinking is more this. I have a 135 amp alternator (I'm assuming 135 amps at idle?). At 12 volts that 1620 watts, a 400 watt AC inverter isn't going to max out the alternator. However, most of that power is actually spoken for if you run all the accessories and drive down the road. The factory alternators don't leave much headroom for anything else.
They sell replacement alternators that have double that output. I'll buy one of those. However, wiring in the factory harness is a bit light. I could easily start an electrical fire if I try to run that much power through a factory strung Aux power / cigarette lighter plug. I'll need to run a larger line back to wherever I put the inverter.
That's the attractive thing about a factory inverter though, from the Pontiac Montana though, I'd probably be fine on cheap small gauge GM wiring.