Is it loving to stand by while your fellow human beings go to Hell?
Be careful when you think you know God's judgment. That is a dangerous trap that many others have fallen into before:
"Ye search the scriptures; for in them ye think ye have eternal life: and they are they which testify of me... But I know you, that ye have not the love of God in you. I am come in my Father's name, and ye receive me not... Do not think that I will accuse you to the Father: there is one that accuseth you, even Moses, in whom ye trust."
light upon light said:
Is it possible that "salvation" in fact comes from compassion and selfless love for others?
No.
This sounds a lot like what I wrote:
"And, behold, a certain lawyer stood up, and tempted him, saying, Master, what shall I do to inherit eternal life? He said unto him, What is written in the law? how readest thou? And he answering said, Thou shalt love the Lord thy God with all thy heart, and with all thy soul, and with all thy strength, and with all thy mind; and thy neighbour as thyself. And he said unto him, Thou hast answered right: this do, and thou shalt live. " - Luke 10:25-28
I see. How does one "feel closer to God"? What does that mean?
It means to enjoy the fruits of the spirit:
"But the fruit of the Spirit is love, joy, peace, longsuffering, gentleness, goodness, faith, meekness, temperance..." - Galatians 5:22-23