But, the article makes this fairly clear: None:
The chief of the Training Division, Assistant FBI Director Thomas Browne, came into his current job in January. His official biography lists no terrorism expertise beyond serving as a coordinator for a bureau “Domestic Terrorism Program” in Tennessee sometime in the last decade.
It is unclear what vetting process the FBI used to approve these briefings; if any Muslim scholars contributed to them; and what criteria Quantico uses to determine Islamic expertise. “The development of effective training is a constantly evolving process,” says FBI spokesman Allen. “Sometimes the training is adapted for long-term use. This particular training segment was delivered a single time and not used since.”
Several of these briefings were the work of a single author: an FBI intelligence analyst named William Gawthrop. In 2006, before he joined the Bureau, he gave an interview to the website WorldNetDaily, and discussed some of the themes that made it into his briefings, years later. The Prophet “Muhammad’s mindset is a source for terrorism,” Gawthrop told the website, which would later distinguish itself as a leader of the “birther” movement, a conspiracy theory that denies President Obama’s American citizenship.
I hoped that after Hoover left the bureau, it might become a better source of intelligence rather than a source of crank political agitation. But, it doesn't appear that is the path it is taking.