With the mood in the nation prior to independence pro-minority, Nehru got the opportunity to implement the colonial and Christianised concept in 1949, when he famously said: To talk of Hindu culture, would injure India's interests.
According to the resources available, BJP and CPI have never opposed the idea of Uniform Civil Code. But the statement issued by S.Yechury is point-blank.
With a Uniform Civil Code, the society will get rid of all gender discriminating laws and send a blow to the patriarchal nature - which is the need of hour.