So far, there weren't 7 billions humans neither.
> Nuclear power, both fission and fusion, is currently in a renaissance
Absolutely not. This is GE and AREVA PR, but doesn't reflect the truth. We aren't building enough nuclear plants now to compensate for the future closing of the old ones. The numbers aren't even ramping up fast enough. As time goes by, there will be less and less active nuclear plants.
Fusion research is blooming, but it didn't make much progress, particularly compared to the huge effort (see ITER).
> There's a lot of solar power in space. A lot. And literal mountains of metal, richer than the best terrestrial ores and pre-smelted too. At some point technology will tip the profit margin positive on exploiting it.
This is science-fiction. I'm pretty close to say this is complete BS. "Space ore" simply can't happen unless you find the way to harvest the power from some magic ponies yet to discover.