What you are portraying is a father who consciously decides that, out of his five children, he will feed only one, and let the remaining four live in neglect until they starve to death, and you call him a 'good father.' Why, he is a monster!
Ah, then we see the concept of "God's children" very differently. In the above, I would say that the one child God feeds IS His child, but the other 4 are not His children. Out of the five, God loves the one child who is truly His. (The other children are not His responsibility.) In fact, He loves her so much that He will allow nothing to prevent her salvation, not even her own wickedness. That is true love. If she really was His child, and He allowed her to make foolish decisions to her doom, then that would mean to me that He really did not love her. God accepts the "responsibility" of Fatherhood for those who actually are His children, not everybody.
John 1:12-13 : 12 Yet to all who received him, to those who believed in his name, he gave the right to become children of God — 13 children born not of natural descent, nor of human decision or a husband's will, but born of God.