This life is nothing in comparison to the eternal life. Anything God does during this life takes into account the eternal consequences.
non-members of the Church
God cares about them and their eternal fate because he "desires all people to be saved". (1 Tim. 2:4) There is, however, no need to know what exactly God does with respect to them. "Indeed, what do I have to do with judging those who are outside? Do you not judge those who are within? But those who are outside, God judges." (1 Cor. 5:12) In the day when God through Jesus Christ will judge the secrets of the people they are going to be judged by their conscience (Rom. 2:14-16). "Unless one is born of water and spirit, he cannot enter into the Kingdom of God." (John 3:5) Perhaps this does not necessarily mean hell.
members of the Church
Here we don't have "an enduring city but we seek the one that is to come" (Hebr. 13:14). We joyfully accept the seizure of our property, knowing that we have a better and enduring property in the heavens (Hebr. 10:34). When we are punished by God, we are thankful because "whom the Lord loves, he also chastens, and he disciplines every son whom he receives". Those whom God doesn't discipline, are bastards, not children. (Hebr. 12:6-8)
"We know that all things work together for good for those who love God, to those who are called according to his purpose." (Rom. 8:28) To some God will provide miraculous deliverance to strengthen their faith. To others he will give trials to strengthen their love.
"One who became well-pleasing to God was beloved,
and, while living amongst sinners, was taken;
he was seized in order that wickedness
should not affect his understanding
or guile deceive his soul.
For the fascination of wickedness obscures the things that are good,
and roving desire undermines an innocent mind.
But being perfected in a short time, he fulfilled long years;
for his soul was pleasing to the Lord,
therefore he hastened from the midst of evil.
But the peoples saw and did not understand
nor take such a thing to heart,
that grace and mercy are upon his chosen ones
and he watches over his holy ones." (Wisdom of Solomon 4:10-15)