The coal industry emits magnitudes more unvetted radiation than any nuclear power plant will in it's whole lifetime; as in, radiation is undetectable around a modern nuclear plant.
Plus coal and oil extraction has it's own problems with radiation. Nuclear produces stable, storable waste that if handled and buried correctly will never become an ecological issue.
They're built to a modern standard where it's practically foolproof. Fukushima held up to an enormous earthquake followed by several tsunamis; that's despite the poor operation of the plant.
The damage we would have to cause to compromise and get rid of any nuclear reliance is far more immediate and concerning.
Nuclear isn't actually as complicated nor unpredictable as you'd think. They've solved ways to avoid melt downs such as the fuels being improved, the amount they process at one time, their cooling and the redundancies. The physical design of a modern station takes into account the worst situations that any given amount of fuel can give in a meltdown such as deep wells that are situated under a reactor to melt into. You won't likely ever see in our lifetimes a station reaching critical meltdown and it not be because a government or private company cut corners.
Scientists are doing this work, they know what they know and they know what they're doing, it's not really for everyone to politically involve ourselves with when no one ever does any valid research or basic knowledge of science without fear mongering.