2 Nephi 30

So that we do not boast of our lineage or ancestry, Nephi explains -

"...now behold, my beloved brethren, I would speak unto you; for I, Nephi, would not suffer that ye should suppose that ye are more righteous than the Gentiles shall be. For behold, except ye shall keep the commandments of God ye shall all likewise perish; and because of the words which have been spoken ye need not suppose that the Gentiles are utterly destroyed.
2 For behold, I say unto you that as many of the Gentiles as will repent are the covenant people of the Lord; and as many of the Jews as will not repent shall be cast off; for the Lord covenanteth with none save it be with them that repent and believe in his Son, who is the Holy One of Israel."  (Book of Mormon | 2 Nephi 30:1 - 2)

It is all about individual responsibility, not collective salvation.