If you think that is as rampant as this article would suggest, then don't have a Muslim doctor.
Imho (and I work with alot of foreign doctors) if a foreign doctor can conquer the language and culture barrier, they make great MDs because the drive to be the best is there. If they refuse to assimilate, then they can appear quite cold towards their patients and generally aren't that successful.
Let's face it, if you left the country of your birth to do what you loved best, why wouldn't the 'drive' be there?
edit: besides, in this country the Medical Director of the hospital would fire or remove the offending MD's privledges if they refuse to 'scrub'.