I understand that at the University of South Africa they call it a "thesis" rather than a "dissertation." Nevertheless, in investigating Dr. Caner's educational claims, I was able to locate evidence of publication of the thesis, though not under the precise name Dr. Caner had provided: Bellum sacrum: the development of the Holy War of the first crusade in light of Augustine's Just War criteria. (source) It is 416 pages (208 double-sided leaves) and was published in 2003, under the name Ergun Mehmet Caner by the University of South Africa. I did verify that it is available in the library at the Main Campus (apparently) in Praetoria and that it was given with respect to a doctorate in theology (source). If any of my South African readers have the occasion to stop by that library and confirm that the Internet data is correct, I'd be most appreciative.
UPDATE: Peter Lumpkins has posted this image purporting to be the title page of Dr. Caner's thesis:
Note the 2003 date, which makes me think this is the published version of the thesis that I had previously mentioned, as opposed to whatever version he provided in 2001 when he supposedly matriculated.