Several quotes relate directly to this question:
Though it is hardly proper to speak of Jesus as a sacrificer, a ransomer, or a redeemer, it is wholly correct to refer to him as a savior. (2017.2) 188:4.7 [2]
Jesus is truly a savior in the sense that his life and death do win men over to goodness and righteous survival. Jesus loves men so much that his love awakens the response of love in the human heart. (2018.1) 188:5.2 [3]
Jesus' life among us served to illuminate the way of salvation, but his death was not a ransom paid to appease an offended God. It was, and still is, his life of unselfish service and his revelation of the true and loving nature of our Heavenly Father that illuminated and opened the way of salvation for all who sincerely seek it. Jesus does save us, not from God, but from our own base, ignorant, and selfish natures.
Jesus revealed that each person, by wholeheartedly trusting in the absolute goodness of God as his infinitely-loving Spirit Father, may experience the profoundly personal inner assurance of sonship as the Father's free gift. He once said,
No child has aught to do with earning the status of son or daughter. The earth child comes into being by the will of its parents. Even so, the child of God comes into grace and the new life of the spirit by the will of the Father in heaven. (1620.10) 144:4.3 [4]
Unselfish service to one's fellows, righteous living for God's sake, and the striving for divine perfection, become, then, man's supreme motivation for living, as opposed to the selfish clamoring for survival. Jesus provided a new way of living which consists in salvation from self. Salvation (survival beyond mortal death) is the gift of God, and should be taken for granted by all who are sincere of heart, who humbly seek God and desire to be like him.
"When men believe this gospel, which is a revelation of the goodness of God, they will be led to voluntary repentance of all known sin. Realization of sonship is incompatible with the desire to sin." Jesus, (1683.2) 150:5.5 [5]