You say that they would be 10x as efficient in Southwestern USA. But how would you transport the electricity from the USA to Germany? Isn't that exactly the problem that the previous commenter is pointing out? I.e. production is not the problem, transportation is.
This means that two different houses each with PV can support each other when one is sunny and the other cloudy.
In principle that would scale to the world; in practice that's the domain of politics rather than technology, and politics may push for one of many other solutions.
On the other hand the nuclear power station turbine generates power with a voltage of 20 KV feeding it to a high voltage transformer, which steps up the voltage to 200KV and is connected directly to the transmission lines.
Cost of energy has multitude of secondary effects on GDP and food security; the importance of which cannot be understated.
Solar energy isn't the panacea that people make it out to be. Where it is abundant, it makes sense. A lot of places do not have that luxury, yet countries like Germany made foolish investments in solar power which is 10% efficient compared to its full potential in Southwestern USA.