No, a BHMS doctor will not get MMC registration after completing a certificate course in modern Pharmacology from MIHS. BHMS is a 4.5+1-year course in Homeopathy, under which you learn the art of Homeopathy to practice Homoeopathy in the future.
MBBS on the other hand is a 4.5+1-year course in allopathic medicine, wherein you learn the art of modern medicine to practice allopathy.
The primary purpose of the one-year certificate course in Pharmacology was to enhance knowledge of Homeopathic doctors in modern medicine and it was not introduced to compete with the allopathic doctor. So, unless they obtain an MBBS degree, a BHMS doctor is not eligible to obtain MMC registration.
BHMS is a 4.5+1 year-long course in Homeopathy. You will learn about Homeopathy, and having a BHMS degree allows you to practice it in the future.
MBBS, on the other hand, is the study of Allopathic Medicine. In the 4.5+1 year-long course you will get to learn about modern medicine. After finishing the course, you will have the license to practice Allopathy.
Homeopathic doctors can do a one-year-long Pharmacology course to upgrade their knowledge in modern medicine. However, it doesn’t make them eligible to obtain MMC registration. The only way to get MMC registration is to do an MBBS degree.