A different approach I find compelling involves those who look at different time scales. Especially, violent crime has been declining since colonial times in the US and around the globe - with specific exceptions. While the overall downward trend needs explanation, any moment where crime is declining is normal and the moments of upturn seem to be what needs explanation. And the explanation here is often the aftermath of war, soldiers who've learned to kill coming home.
Of course this isn't to claim lead pollution is in any way acceptable but whether it lead to violent crime is a fuzzy question.
http://blogs.berkeley.edu/2010/06/16/a-crime-puzzle-violent-...