Is it obligatory to maintain kinship ties with those who mock and ridicule one's commitment and the Sunnah of the Prophet, peace and blessings be upon him, and whose family gatherings are frequently characterized by intermingling and immodesty?

The questioner is advised to be patient with family, to be gentle with them, and to invite them to guidance through kindness, especially with parents. This should be accompanied by gentle and soft advice. One should not obey parents in attending celebrations that include forbidden acts, unless one is able to change the forbidden act or distance oneself from the unlawful. As for maintaining kinship ties, it is obligatory and is fulfilled by whatever is customarily considered a connection, such as visiting, calling, writing, or greeting. The degrees of connection vary, and their reference point is custom and circumstances.