EverApostate, as long as secular governments make that illegal for religions to stone "apostates," the WTS will not do it. In some countries the secular government and dominant religion can and have worked together regarding punishments for criminals (apostasy would be violating a religious law = secular law).
If the WTS could try to make the majority of jws violate secular law and spend time in prison or perhaps be executed themselves, I would doubt that. Some have but not many. Would you have when you were a believer? Not me.
I can't imagine most jws doing it, let alone jw relatives.
Even in 1952 when the WTS hinted at this, they said:
Watchtower 1952 Nov 15 pp.703-704 Questions from Readers
In the case of where a father or mother or son or daughter is disfellowshiped, how should such person be treated by members of the family in their family relationship?P.C., Ontario, Canada.
We are not living today among theocratic nations where such members of our fleshly family relationship could be exterminated for apostasy from God and his theocratic organization, as was possible and was ordered in the nation of Israel in the wilderness of Sinai and in the land of Palestine. "Thou shalt surely kill him; thy hand shall be first upon him to put him to death, and afterwards the hand of all the people. And thou shalt stone him to death with stones, because he hath sought to draw thee away from Jehovah thy God, . . . And all Israel shall hear, and fear, and shall do no more any such wickedness as this is in the midst of thee."Deut. 13:6-11, AS.
Being limited by the laws of the worldly nation in which we live and also by the laws of God through Jesus Christ, we can take action against apostates only to a certain extent, that is, consistent with both sets of laws. The law of the land and God's law through Christ forbid us to kill apostates, even though they be members of our own flesh-and-blood family relationship . However, God's law requires us to recognize their being disfellowshiped from his congregation, and this despite the fact that the law of the land in which we live requires us under some natural obligation to live with and have dealings with such apostates under the same roof.