Have family values that transcend the family unit

Jesus taught "family values" that transcend the family unit

Matthew 6:9 9 Pray then in this way: "Our Father..."

Do we ignore Jesus' teaching that family values reach far beyond the family unit?  Can we call God "Our Father" and ignore our brothers and sisters down the street and around the world who don't have food to eat, health care, and who are just plain lonely and hurting?

Note: These are Jesus' family values: 
         Mark 3:31-35 31 Then his mother and his brothers came; and standing outside, they sent to him and called him. 32 A crowd was sitting around him; and they said to him, "Your mother and your brothers and sisters are outside, asking for you." 33 And he replied, "Who are my mother and my brothers?" 34 And looking at those who sat around him, he said, "Here are my mother and my brothers! 35 Whoever does the will of God is my brother and sister and mother."
          Luke 14:26 26 "Whoever comes to me and does not hate father and mother, wife and children, brothers and sisters, yes, and even life itself, cannot be my disciple.   
         John 19:25-27 Meanwhile, standing near the cross of Jesus were his mother, and his mother's sister, Mary the wife of Clopas, and Mary Magdalene. 26 When Jesus saw his mother and the disciple whom he loved standing beside her, he said to his mother, "Woman, here is your son." 27 Then he said to the disciple, "Here is your mother." And from that hour the disciple took her into his own home.