What of the Good Samaritan? (Luke 10:28-38) ... Go and do likewise. - Jesus didnt seem to judge based on belief.
Christianity is about two things and you can even see it in the ten commandments: Your relationship with your fellow man and your relationship with your creator - and the former is really a subset of the latter. Jesus story about the Good Samaritan was about the former and it was important to show the Jews that it was not their heritage that made them God’s people.
In fact, look at when Mary tried to have an audience with Jesus. He basically dissed her. When He was told his mother and brothers were outside and wanted to see Him He practically denounced the blood relation to her when He said, “who are My mother and brothers but those who do the will of my Father”.
Faith without works is dead, true, but works without faith are useless, regarding salvation. You will enjoy a happier life until you do die, however. It’s an ecclesiastes thing.
Eternal LIFE is not salvation?