> proctoring that includes checking biometrics, taking photographs of the individual for posterity, oral examinations, etc.
While I personally do actually believe test like that would be better than the kinds of exams being taken by students while at university I don’t see it as a realistic option for entrance exams. That sort of thing is simply not part of North American educational culture to a large degree. And for medical schools people practice and study and drill for months in order to prepare themselves for it.
Also, for most colleges and universities it simply makes no sense to introduce such an exam (or any at all) since they accept everyone who applies; they need to in order to remain financially viable.