The question is loaded because it assumes a fundamental difference in nature between the "death-bed repentant molester" and the "decent citizen". But genuine historical Christianity recognizes no fundamental difference in kind between the two men.
Before anyone goes ballistic, hear me out
Christianity recognizes no fundamental difference in kind between the two men. Historic Christianity holds that all of mankind has a terminal spiritual disease. The "disease" of sin is universal and the universal prognosis is that it is terminal for all men.
Historic Christianity does recognize that there is a huge difference in degree between the two men given in this example. The "molester" has stage four spiritual cancer. The "decent man" may not even have reached an easily discerned stage of illness. He may not even be officially "stage one." The "stage four" molester's disease is epidemic; he is out of control and energizing the cancer through his evil deeds. In fact, one of the hardest things about a "stage-four disease spreader" (besides the heinousness of what he is doing) is that he challenges society to respond in a way that does not accelerate the spiritual cancer in us.
But, according to Scripture, we all are diseased; we all are terminal. The molester may be stage four advanced cancer, but I am cancerous as well. To fail to recognize this truth is the essence of self-righteousness. The Word of God is the chemotherapy that attacks and has the potential to remove the cancer; the Word is the only cure.
By "Word" I do not mean the Bible. I mean God's "Logos," His expression of Himself. Read John 1:1-18. This Word is the true light that lights every man (John 1:9). Whatever love of truth, goodness, and decency that abides in humanity stays there because that Light shines in every human; without that light, our spiriutal cancer would rapidly spread. No one alive today has seen a society that diseased, violent, and destructive.
Those who love the light manifest God's grace. "To those who by persistance in doing good seek glory, honor, and immortality, he (GOD) will give eternal life." (Romans 2:7).
We are spiritually malignant. We may feel fine, but we aren't. The human race is one body; if any human molests, that human is part of me. What he does reveals something about me. If I submit to the chemotherapy of God's Word, I can be cured. I won't have to be "removed" by radical cancer surgery. God's Word has already entered into the body of humanity. That "invasion" is named Jesus of Nazareth: Son of God and Son of Man.
If you love the light, it is Him you are loving, whether you know it or not. If you have ever lied, or sinned in even the most "innocent" way, you have revealed that the cancer is at work in you as well, whether you know it or not.
He came to call sinners, not the righteous. He came to call the sick, not the healthy. A man who doesn't believe he has cancer would never submit to the rigors of chemotherapy. Those who know they have spiritual cancer will at least consider it. That's why prostitutes (Mary Magdelene), white collar embezzling hedonists (Matthew), violent zealots (Simon the Zealot), thieving insurrectionists (the Thief on the Cross) and blue collar foul-mouthed fishermen (Peter) came to Jesus.
But self-satisfied people didn't.
This is the Gospel, the ultimate Chtisitan religious question