I don't know who made this narrative. Many of the top actresses of Indian cinema have been Muslim who adopted Hindu names for their film career. There were also Muslim actresses who succeeded with Muslim names.
Suraiya- Suraiya Jamal Sheikh, one of the top actresses of the 40s and early 50s. She was one of the last in the tradition of actress einger. She had a really strong affair with Devanand but because of religious difference her Nani objected to the union.
Meena Kumari- The tragedy queen of Bollywood. Originally named Mahjabeen Bano. Was forced to act to earn money by his father. She started her career as Baby Mahjabeen as child artist but became Baby Meena after 3 films and later worked as Meena Kumari while practising Islam and marrying Kamal Amrohi.
Madhubala- Born Mumtaz Jehan Begum Dehalavi. One of the most beautiful actress to grace Indian cinema. Had a failed affair with Dilip Kumar and then married Kishore Kumar. Like Meena Kumari, she also d*ed at a very young age.
Nargis Dutt- Daughter of Jaddanbai, one of the earliest music directors and the first female music director of the industry. Nargis was one of the greatest performer who gave one of the biggest female oriented hit in Mother India and was also the first actress to win a National award for Beat Actress for Raat aur Din.
Waheeda Rehman- Another National award winning actress who made her anek in both South and Hindi cinema. Apart from commerical cinema and character roles she delved into meaningful cinema with Reshma aur Shera which was india's entry to Oscars, Namkeen etc. She has been honoured by Dada Sahab Phalke Award.
Saira Bano- A major actress during 60s and early 70s with classic films like Padosan, Purab aur Paschim, Junglee, Sagina etc. Married to Dilip Kumar and co tinted working even after marriage.
Mumtaz- started off as a B grade actress working in stunt movies, became the top actress of Bollywood in 70s with a terrific rapport with Rajesh Khanna with ahom she gave hits after hits (Do Raaste, Apna Desh, Aap ki Kasam, Dushman etc).
Shabana Azmi- The Queen of parallel cinema who won 5 National awards including 3 in a tow which are both records. Shabana Azmi, Smita Patil, Om Puri and Naseeruddin shah are the four stars of art cinema in the industry.
Tabu- Like her aunt Shabana and her sister Farha Naaz Tabu also established herself in commercial as well as art cinema winning 2 National awards along with 5 Filmfare Critics award.
Apart from these top actresses we have Sara Ali Khan, Soha Ali Khan, Dia Mirza, Huma Qureshi, Nora Farehi, Nargis Fakhri etc.