Curiously, they may be right - see "Lithium in drinking water and the incidences of crimes, suicides, and arrests related to drug addictions." https://www.ncbi.nlm.nih.gov/pubmed/1699579
The same can be said of lead. I'm fairly certain I've read of a study / theory that the drop in crime rates can be tracked back to removing lead from paint, gasoline, etc.
Full disclosure: I don't recall if this jumped the gap between correlation and cause.
I think that explanation is pretty widely accepted as being a cause of the past few decades' drop in crime rates (though not the only one). It's probably not possible to prove cause better than we have without obviously unethical experimental studies.