Fight them! Allah will chastise them at your hands, and He will lay them low and give you victory over them, and He will heal the breasts of folk who are believers.
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.