Excellent point about the solar production capacity vs. Supercharging demand.
To satisfy my curiosity, I played around a little bit with NREL's PVwatts calculator. If Tesla covered every square foot of property with solar panels, their max production would be some 630 kW. Based on conceptual designs and placement of those large steel beams, I think we can expect a solar system in the 100 kW - 150 kW neighborhood. While it's a significant amount of power, it's still only a small fraction of what this site is capable of consuming.
edit: based on that great drone footage, it appears that they're going to do four separate solar arrays. I estimate the one closest to the building being 40-50 kW, the array in the middle of the lot being 80-100 kW, the array along the south end of the lot being 40-50 kW, and the array along the western lot line being 80-100 kW. This system could end up being 200-300 kW depending on orientation.