> This is not as big a problem as it sounds - you cannot provides enough power for you neighbors and so your breakers (fuses) will cut power long before the lineman gets there.

The load side (your neighbors) cannot pull more power than is being generated. My 7kW array can generate 7kW and no more. No breakers will trip in a hypothetical scenario where my inverter fails to shut down during an outage, and my neighbors are trying to drawing 10kW.