Because I do not think a person has to be a professing Christian to be saved. The Bible says that Jesus is "The Light who enlighteneth every man, who has come into the world." (John 1:9) That would be an indication that He doesn't just enlighten professed Christians.
As a reasonable inference from this, the Catholic Church teaches that there is something called "Baptism of Desire," which is that a person, assisted by God's grace, might sincerely desire to do whatever it is that the Good God intends for him (thought he does not know what that is.) This entails an implicit desire for baptism.
"If one never gets that chance, do they go to hell?"
No, that would be an injustice. God is so just that when the final judgments are know, every person --- ever one of us --- will say, "My God, that was exactly right." And His mercy desires that all be saved. "God desires that all men be saved and come unto the knowledge of the truth" (1 Timothy 2:4).
"Is there a non-Christian light available to those of other faiths, that makes them turn to that particular faith?"
I don't know how to answer that question, since it would entail people turning to some religion which is a mixture of truth and falsehood, or which is at best incomplete. I don't know how to sort that out, but God does.
I do know that God resists the proud, but is exceedingly generous to the humble. "He guides the humble in what is right and teaches them his way." Psalm 25:9
The key seem to be a sincere appeal to God: "O Lord, teach me your way." It's a prayer He will not fail to hear, and His assistance is sure. You can count on that.
If they are not Christian, how would they know they need saving? Does God let everyone know this personally, or do they have to hear it from another person or book?
If God sorts things out for people of non-Christian faiths, what is the wrong with not being a Christian?
When a non-Christian prays and asks to be taught His way or needs help, does God hear them?