The issue with nuclear power is waste, not supply. I'm the first to argue that radiological waste is the ideal form of toxic waste -- dense and contained -- but we still can't consume an infinite amount.

Further, I question the notion that solar and wind power are infinite in supply. At some point, absorbing solar radiation that would otherwise heat the surface of the earth must have some effect on global weather patterns, and a similar argument can be made for wind power. I don't think we're anywhere near that point, but it just goes to show that the "infinite growth" mindset is extremely problematic in the long run.

As for human population, this is true of first-world countries, but not universally true. India is an example of extreme demographic growth.

Any way you want to cut it, our power (or, more generally, resource) demands cannot grow infinitely. Where you are correct is in pointing out that the population constraint is fundamentally at odds with the geopolitical and economic need for demographic growth. This is precisely the point I'm lamenting.