No, the Uniform Civil Code was not deferred just for Muslims

The dominant narrative about the Uniform Civil Code in the Constituent Assembly describes it as a compromise between equality and pluralism. While women members like Hansa Mehta and liberal egalitarians like Ambedkar advocated for state reform of family law, Muslim conservatives argued that this would impede their religious freedom. Muslim League members within the Constituent Assembly proposed amendments to exclude “personal law of the community” from the operation of the Uniform Civil Code. The Jamaat-e-Ulema-e-Hind demanded specific provisions for protecting Muslim personal law from interference in the future Constitution.