I have expected Christians to use the Flavius Josephus arguments without understanding that the Antiquities are tainted with Christian interpolations.
The following link provides a good argument what scholars think of the Antiquities:
http://en.wikipedia.org/wiki/Josephus_on_Jesus
What then is the 'modern consesus' on the authenticity of the Antiquities:
The consensus in
2004 is that the passage is mainly genuine, but has suffered
corruption, whether
deliberate or accidental. Some apologists maintain that only some of the section are
interpolations. However a significant number of scholars consider it
genuine,
on the grounds that all of the passages supposed to be corrupt are upheld by other writers; a significant number of scholars likewise consider the passage
interpolated, on the ground that all the passages upheld are likewise demolished by other writers.
To understand what the underlined words mean, pls see
http://www.religiousstudies.uncc.edu/jdtabor/josephus-jesus.html
Essentially, some scholars believe the words in CAP (see the link) are Christian interpolations.
Surely, you cannot use a corrupted text as 'historical documents' for the crucifixion of Jesus?
salam