There is now a disclaimer at the bottom of every page at askjohnlott.org:
This site is not run by John Lott, he has no affiliation with it. It is run by Mary Rosh. John Lott used Mary Rosh to support his books in internet forums, and put false claims in her mouth. Now Mary Rosh has created this site, to show John Lott that parody is a two-way street. You can find out more about her at WhoIsMaryRosh.com.
I think that puts paid to the silly claim of "identity theft".