The solution can't be first-world-only, and local solar is a much better bet in equatorial but poor and politically unstable parts of the world.
For that reason, the NIMBY forces / politics against nuclear are much stronger than average (both in building the plant and storing the waste). Never mind that, on average, nuclear power is much safer than fossil fuels. People fear the spectacular more than the mundane. Take terrorism vs. car crashes, in the Western world you're more likely to die in a car crash by far, but it's terrorism that stirs up the fears.
As far as global warming is concerned, power generation is only part of the puzzle anyways. Such contributors as transportation and deforestation are also important. Honestly, solar and wind are pretty competitive right now... except for one angle. The main problem with solar / wind / etc. energy generation right now is variability, so the real "moonshot" for this technology is energy storage. (Which is the same real issue with electric transport as well).
Even if everyone would agree to convert everything to nuclear reactors now it would probably take a decade before the first goes online and several decades until enough of them are online. That's far too long.
In that same period you can easily get far more energy quicker with decentralized renewables.
Solar and wind are are here now. And they get in all form-factors, including single-home sized. Besides, photovoltaics are way behind in the Moore's law, and still have a lot to improve.
Today, pushing nuclear energy is almost guaranteed to get you no result, while solar will probably get you the biggest improvement you can get.
Global warming is no longer a theoretical issue. It is here. Now. Within 20 years people will begin abandoning the Persian Gulf, sending a wave of refugees across Europe that will make current migration look like a trickle.
We are facing an existential threat to global civilization. There's no longer time to bet on a solar moonshot. We're discussing geoengineering for god's sake. We need proven technology, and we need it now.