There are four the types of arguments, of increasing power:-
1. Detailed technical arguments.
2. Simplistic factual arguments.
3. Emotional arguments.
4. Authoratative arguments.
Mugs like me tend to rely on detailed technical arguments. Simplistic factual arguments are much more powerful, but will always be trumped by an argument that appeals to people emotionally. And arguments from respected people in authority (like film stars) trump everything else.
So Nuclear = Nuclear Bombs = Satan. No amount of geeky statistical analysis can change that.