Please define what you mean by "dead faith". Get that settled first before we get into it.
I do not see Jesus qualifying faith as living and dead. Only as faith. Play word-games as you want; the words of the Lord are quite clear and explicit. Add to them as you will, but I choose to accept His words as perfect.
As far as sola scriptura, see Jesus' words in Mark 7:1-15. Jesus is quite explicit: tradition and non-Biblical teachings are secondary to the Bible - the word of God. You worship in vain when anything beyond God's commandment and the word of God is held equal - or above - those commandments and words.
Those aren't my words, those are the words of Jesus. I would ask you to read over and consider them carefully.
Sola scriptura does not mean all other writings and teachings are irrelevant or to be shunned; they are simply of secondary status to the Bible, and not required to grasp the message of the Bible. You do not need anything beyond its words, or you run the risk of being the hypocritical pharisees that Jesus spoke against.
Faith without works.
As far as sola Scriptura, see Jesus' words in Mark 7:1-15. Jesus is quite explicit: tradition and non-Biblical teachings are secondary to the Bible - the word of God.
That is YOUR interpretation.
Christ is condemning human traditions that contradict Scripture.
Traditions of the Church Christ founded are not man-made, and they do not contradict Scripture.
You do not need anything beyond its words, or you run the risk of being the hypocritical pharisees that Jesus spoke against.
Such is YOUR interpretation.