Shutting down fossil fuel electric plants

[Dr H]

At the moment, To completely replace fossil fuel fired power plants while still maintaining power grid stability requires sizeable breakthrough in other energy storage technologies.

Or a significant reduction in demand.

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The problem with nuclear is unless the capital cost is greatly reduced, it is not economic on all-in cost of energy basis.   Particularly in the US.     Right now Solar, wind and fossil are all cheaper than nuclear.    This is discouraging the sort of investment needed to provide good prospect of improvement.    Trump restricting nuclear exports to China is not helping with nuclear power research in the US.

Actually, nuclear is one of the cheaper options, and solar one of the most expensive.

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Panicking about climate? The solution is abundant, scalable, zero-carbon energy, including 4th-gen nuclear. Promising development: Terrestrial Energy’s Integrated Molten Salt Reactor clears a regulatory hurdle in Canada.
https://www.terrestrialenergy.com/2018/1...in-canada/

That's not "the" solution, but it certainly could be part of a viable solution.

Anything approaching a true solution is going to have to be multifaceted and broad based.