If they believed in Allah and the Prophet and that which is revealed unto him, they would not choose them for their friends. But many of them are of evil conduct.
Times are computed by method; your mosque's timetable governs the adhan. Every text carries its source and grade. Nothing here is a fatwa, a prediction, or a substitute for a doctor: your own scholar decides what is contested, and the tradition itself says the practice is alongside treatment, never instead of it.