If Scripture is eliminated then what are you believing if you believe Jesus... You see between human being for one to believe the other.. The Other must first share a statement / positon / teaching/ belief.. Then you have something to believe or disbelieve..
So the foundation of the question was silly.. If you exclude scripture and say salvation is only by believing Jesus then you have nothing to believe because you have eliminated all His teachings..
All the 5 sola statements go hand in hand.
If one leave out Christ alone, then he adds to Christ; pehaps popes and saints and priests or pagan false deities.
If one leave out Scripture alone, then by what teaching is Christ preached, and one may add the philosophies of men and wrong understandings of Christ, who he is and what he taught.
If one leave out Grace alone, one may believe that by works that he may make God into a debtor who owes him salvation due to merit.
If one leave out Faith alone, one may add that altering behavior or deprivation, and asceticism.
If one were to leave out God's alone, we may think we are something good that is worth saving