And who can forget the classic, "Where is the waste from fossil fuels? Take a deep breath, it's in your lungs. Where is the waste from nuclear power? Where we store it."
Yes there have been disasters but the waste from those are tracked, in a specific location, and can be cleaned up. The default state of fossil fuels hits every living breathing thing on Earth.
And even factoring in the impact from disasters nuclear is still the safest. And we have even safer designs for reactors nowadays then the reactors that had those disasters.