Jesus thought so.
Luke 7:50 And he said to the woman, “Your faith has saved you; go in peace.”
John 3:14-18 And as Moses lifted up the serpent in the wilderness, so must the Son of Man be lifted up, 15 that whoever believes in him may have eternal life. “For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life. For God did not send his Son into the world to condemn the world, but in order that the world might be saved through him. Whoever believes in him is not condemned, but whoever does not believe is condemned already, because he has not believed in the name of the only Son of God.
Your posting:
But faith does not encompass all that is required for salvation.
Jesus thought so.
Luke 7:50 And he said to the woman, “Your faith has saved you; go in peace.”
You may also want to read John 8:10-11 where he saved the woman who was going to be stoned.
Perhaps you should understand that Jesus also said “Go, [and] from now on do not sin any more.”
Then Jesus straightened up and said to her, “Woman, where are they? Has no one condemned you?”d 11She replied, “No one, sir.” Then Jesus said, “Neither do I condemn you. Go, [and] from now on do not sin any more.”]John 8:10-11
There will still be a judgement day. So we all have reponsibility to follow God’s will.