It's not even so much ignorance as human nature. We all "know" that we are more likely to break our necks falling down a staircase than we are to die in a plane crash, but the spectacular nature of the plane crash elicits more fear than the prosaic concern of a common accident. The more dramatic and large the consequences, the more the fear.
But I'm just trying to describe where the fear comes from, not say that it's legitimate to base policy on it.
As I have said in other venues many times, when French bureaucrats can do something more efficiently that American capitalists, something is very wrong with this picture. Yet the French nuclear power industry is much better than the US one.
So:
1 We know that it's reasonably safe, but we also know that fears of safety will cause heavy opposition.
2 We know that it's possible to permanently store the waste products, but for a variety of reasons we have absolutely failed to implement a plan. And that raises the risk and costs that nuclear waste represents.
3 We know that nuclear power is not as environmentally benign as some would claim, because processing the fuel is messy as hell.
4 We know that nuclear power is somewhat cost effective, but we do not know how cost effective because there are so many government subsidies and secrets involved that a full accounting is impossible.
5 We know that well designed nuclear plants are safe, but we don't know what happens when terrorists put a real effort into blowing one up.
6 We know that there is a lot of uranium in the ground now, but we also know that nuclear power based on uranium is not a permanent power source because the uranium will become scarcer and more expensive over time.
7 We know that as more nations seek to use nuclear power, the costs will go up he time when nuke plants must be replaced with something else draws nearer.
Therefor, why not bypass nukes and go to renewables now?