You'll notice Dr. Craig didn't bring up Joshephus. And for very good reason. I suspect you're aware that those references to Christ by Josephus are strongly considered to be interpolations.
(**** I suspect you're aware that those references to Christ by Josephus are strongly considered to be interpolations.***
Only in the minds of unbelievers. If you will check, Origen (185-232Ad)wrote of how Josephus talked of Christ in his histories. Origen lived when the libraries were still under the control of Pagan Rome, and schrolls are not that easy to change without notice.
On page #5 under fact #2 in the second paragraph reference is made to "Patriarchal Jewish Society" and the Histories of Josephus.