There are those who don't have enough faith to be an atheist, but they do wonder about the character of God, especially in light of the tragedies in the world - does He really care?
Well think about it: if God is uncaring about the suffering in the world, then why would, or how could, we care? If we were created by an uncaring deity then we would be uncaring and unconcerned about the plight of others. The fact that we care tells us that our Creator cares. The fact we recognise evil tells us that our Creator is righteous. This lets us know that He is going to intervene in this world. Human rebellion will run its course until He steps in to judge; and when He does judge it won't be in half measure. Paul's exhortation, therefore, is as relevant today as it was when he said it, God "now commands all men everywhere to repent, because He has appointed a day on which He will judge the world in righteousness by the man whom He has ordained. He has given assurance of this to all by raising Him from the dead" (Acts 17 v 30-31).
All those who have outstanding sin-debts will be called to account. That debt can be forgiven because of the price the Lord Jesus paid. Turn yourself in now, and receive the offer (Luke 7 v 40-43; Acts 13 v 38-39).
Why does evil persist? There are many answers to that (see here or here), but we know this - it's not because God doesn't care. If He didn't care, we wouldn't and couldn't. He has shown His care, John 3 v 16; Romans 5 v 8; 1John 4 v 9-10.