Then there's a problem with nuclear fuel. The sources are mostly countries you don't want to depend on.
You are of course right with your assessment that nuclear is green, safe and eco-friendly. That's a hard one to swallow for a lot of eco activists.
Nuclear fuel storage is relatively straightforward, and volumes have potential to be reduced 30x through recycling.
In Ukraine, profits from all nuclear plants will cover damages, caused by Chornobyl, in 1000-5000 years IF nothing more will happen to Chornobyl or other an other nuclear power plant in those years, which is unlikely.
If we did the same with commercial air travel after the first disasters we’d still cross the oceans in boats. Car accidents kill 10-15 times more people every year worldwide than Chernobyl did but we don’t give up on cars either. Heck, smoking kills 7-8 times more people than cars every year (that’s 80-100 Chernobyls worth every year) and we still allow it.
The reasons are political not technically or financially insurmountable obstacles. We didn’t shut down nuclear in Europe for “green” reasons or because we can’t improve it, or because it kills too many people, but because enough Russian money went into politicians’ pockets to do this.
Why not exaggerate to the "entire planet" if we are going this way..
Regardless, in hindsight humanity could have prevented (at least to a significant extent) climate change if we doubled down on nuclear 40-50 years ago instead of stopping most expansion. What will be the cost of that?
Nuclear power would provide 10% of the energy, which would be far from sufficient since it is necessary to electrify uses (in order to reduce the quantity of fossil fuel burned) and therefore produce more electricity, if we could multiply the power of the fleet by 5, therefore building around 1500 new reactors and keeping the existing fleet active. Hoping for this before 2100 would be absurd.
Instead if it kept doubling every decade it would be well over 10%.
Of course electrification of transportation etc. should have starter much earlier.
Obviously none of that was economical compared to coal/gas/oil back then.
Uranium deposits mined under the right conditions can supply the current stock for at best two centuries. https://en.wikipedia.org/wiki/Uranium_mining#Peak_uranium
To extend this beyond that, we must hope for a revolutionary production process (pursued in vain for decades: breeders...), the ability to exploit less promising uranium deposits, thus tolerating increased emissions and costs, or the discovery of a large deposit.
Hoping for such a discovery is risky because intensive prospecting began at the end of the Second World War (the quest for nuclear weapons), and the rapid and sharp rise in the price of uranium (a bubble) that occurred around 2007 triggered a massive investment in prospecting, the results of which (15%) are very inadequate.
Therefore, multiplying the stock by five would leave at best 40 years of uranium certainly available under current conditions, and would therefore be an inept investment (one needs to amortize the plant).
Moreover there are geostrategic considerations: many nations don't have any reserve not want to have to buy uranium (creating a dependency) or technical expertise.
But yes, I agree that fossil fuels also had a lot of very significant political, economical and technological advantages over both nuclear and renewables which is why coal/gas/oil won. For renewables it might be changing now it just might be a bit too late...