Quite frankly, no -- solar panels work only when there's sunlight to convert into electricity. Even on nights with strong moonlight or starlight, these illumination sources won't make a difference.
2 inverter ratio would require an additional 641w of inverter capacity, which would cost ~$231 (641*. 36) and result in an extra 98kWh/year in production, or 426 watt hours per dollar spent (Wh/year/$).