First, any coal analogy is out of date. Only the coal lobby wants to continue burning coal. Everyone else is like "No, that's stupid and self-harming, let's just not."
Secondly, plane crashes don't make entire areas uninhabitable for long periods.
Third, the problem with nuclear isn't the engineering, it's the management. The nuclear industry has proven time and time again that it can't be trusted with nuclear technology. The long list of smaller accidents, cover-ups, and outright lies make it clear that trust has not been earned.
Four, the waste problem still hasn't been solved. I'm not sure how a technology that creates waste that remains toxic for thousands of years can be considered "clean", but the very curious pretence that is somehow clean - or that it can always be buried under a "Keep Out" sign that will somehow remain in place for many centuries - is a handy example of the toxic rhetorical pollution the nuke industry generates.
Fifth, if you remove all subsidies and include end-to-end clean-up costs, nuke power is actually uneconomic, and becoming more and more so.
Apart from that, it's a great idea.