It's not helpful to try to kill the discussion by stroking irrational fears.
No, we really don't. We know how to make all sorts of things reasonably safe. Yet planes still fall out of the sky, refineries catch on fire, dams fail, etc. In essence: Any nuclear reactor will have a probability different from zero for producing an incredibly expensive nuclear accident.
Much about accidents in complex high risk technologies has been said in "Normal Accidents" by Perrow in the 80s. The reasons he identified why complex systems fail will always be with us. Especially the notion that it is more often than not the organizations and not the technology which enables major accidents.
A coal fired power plant will also have a probability different from zero for producing nuclear waste.
In fact, AFAIK the radiation risk from living near a coal powered power plant is significantly larger than living next to a nuclear reactor.
I guess if this was taken into account coal powered power plants would also require incredibly expensive cleanup.
That said as long as renewable is cheaper we should go with that going forward.