He's already been reprimanded for proselytizing Islam in uniform. So I assume he was reported.
That obviously didn't stop his promotion (which I've read are automatic for doctors, no matter what their disciplinary record), or his assignment to Iraq.
I'm afraid political correctness has trumped not only the UCMJ, but sanity itself.
I didn't see the report of him proselytizing, it's interesting if true - and troubling. There have been some high-profile cases of proselytizing the last several years. Of course, those cases all had to do with Christian proselytizing, so naturally, in the world of political correctness, that's worse. I should add, that I'm not aware of any of these cases resulting in a court-martial for violating Article 92. The worst that has happened is an administrative separation.
Lastly, most physicians enter service as a Captain, unlike other officers who enter service as 2ndLts. That first promotion for Doctors, from Captain to Major, is a virtual guarantee. While there is a promotion board, and the candidate does have to have the specified time-in-grade, 98% of eligible candidates are promoted to the rank of Major/LCDR. There is that 2% that doesn't make it, but those are the ones that have faced some actual disciplinary procedure, and not just a mediocre annual EVAL.
Even the promotion to 0-5 is at a rate of over 60% - which is well higher than it is for line officers.