In Islam, if a family member is a kaffir, or someone who rejects the truth when they know its true, they are not considered your family.
Allah promised Noah (AS) that his family will be saved from the flood, but Allah commanded the water to swollow all who disbelived, and Noahs son was one of them
[But] he said, "I will take refuge on a mountain to protect me from the water." [Noah] said, "There is no protector today from the decree of Allah , except for whom He gives mercy." And the waves came between them, and he was among the drowned.
....And Noah called to his Lord and said, "My Lord, indeed my son is of my family; and indeed, Your promise is true; and You are the most just of judges!"
He said, "O Noah, indeed he is not of your family; indeed, he is [one whose] work was other than righteous, so ask Me not for that about which you have no knowledge. Indeed, I advise you, lest you be among the ignorant." 11: 43-47
So these ayat explain that if someone who has a blood relationship with you, and they have no relationship with God, then they are not your family member. Those with a true bond are those who are muslims, hence the reason for us calling fellow muslims brothers, and sisters.
Also, when the prophet's uncle died, he was asking Allah to forgive him for being a kaffir and Allah said that he cannot pray for those who disbelieved
By Allah, I will keep on asking Allah's forgiveness for you unless I am forbidden (by Allah) to do so." So Allah revealed:-- 'It is not fitting for the Prophet and those who believe that they should invoke (Allah) for forgiveness for pagans.' (9.113) And then Allah revealed especially about Abu Talib:--'Verily! You (O, Muhammad) guide not whom you like, but Allah guides whom He will.' (28.56) Sahih Bukhari Book #60, Hadith #295
and lastly, the story of a convert from Islam. Some Muslims tried to bury him next to the dead Muslims, and they failed to do so:
Anas b. Malik reported: There was a person amongst us who belonged to the tribe of Bani Najjar and he recited Sura al-Baqarah and Surat Al-i-'Imran and he used to transcribe for Allah's Messenger (may peace be upon him). He ran away as a rebel and joined the People of the Book. They gave it much importance and said: He is the person who used to transcribe for Muhammad and they were much pleased with him. Time rolled on that Allah caused his death. They dug the grave and buried him therein, but they found to their surprise that the earth had thrown him out over the surface. They again dug the grave for him and buried him but the earth again threw him out upon the surface. They again dug the grave for him and buried him but the earth again threw him out upon the surface. At last they left him unburied. (Muslim Book #038, Hadith #6693)
This hadith shows that when this body was going to give the honor of being buried next to Muslims, the earth wouldn’t allow it. Which means that Allah was not pleased with this man, even thought his ancestors were Muslims, he was a convert, and he was not given the permission to be buried next to Muslims.
So family members do not get a special place in Islam, they will be judged accordingly based on their actions, not by those who they were related to.