Faith is not just intellectual assent, it requires action (Heb 11:1, James 2:26). But it is not just one action. It is all the actions that give life to our belief, and exhibit trust in God's promises. Abraham believed that God could raise Isaac from the dead, so he was willing to sacrifice Isaac to God, trusting that God would honor His promises. That is faith.
That is true, but is it the action or the faith behind the action that is decisive. We do not read in the scripture Abraham was willing to sacrifice his son, and it was accounted to him for righteousness. Nor do we read Abraham left his home, and it was accounted to him for righteousness. We do however read Abraham believed God, and it was accounted to him for righteousness
And the word that is translated "belief" in almost every place in the NT is the Greek word "pistis" which means faith. Thus it is not talking about intellectual assent (the way we understand "belief" today), but exhibiting faith. Some passages mention one part of what is required to receive salvation but not others. Some lump all of it under "faith" (belief). Some list several of the requirements, but all of them must be done in faith. If you don't believe Jesus is God, and you don't believe that He died for your sins, but you verbalize "Jesus is Lord" and are baptized, all you did was say some words and get wet; you were not saved.
I do not understand belief as intellectual assent nor do I teach that. I believe biblical faith is trust and that faith is seen in what one does.
In John 5:24, believes is again from "pistis" meaning faith. And faith is not real, alive, effective if it does not include actions of obedience (James 2:26). And baptism is the action of faith during which Scripture says that we receive forgiveness (Col 2:11-14), that we are united with Christ in His death and resurrection (Rom 6:14, Col 2:11-14), and that we enter into the Kingdom of God (John 3:5).
Baptism is an act of faith. It is however wrong to say one cannot be saved without it. We know the thief on the cross was.
I do not see a drop of water in Rom 6.
It is the baptism en the holy ghost by which we enter into the body of Christ, baptized into him (his body).
1 Corinthians 12:13 (ESV) — 13 For in one Spirit we were all baptized
into one body—Jews or Greeks, slaves or free—and all were made to drink of one Spirit.
and sealed in Christ
Ephesians 1:13 (ESV) — 13 In him you also, when you heard the word of truth, the gospel of your salvation, and believed in him, were sealed with the promised Holy Spirit,
It is the only true baptism which unites us with Christ
You will note Cornelius and his household were baptized en the spirit and seen as having had received life apart from water baptism
Acts 11:15–18 (ESV) — 15 As I began to speak, the Holy Spirit fell on them just as on us at the beginning. 16 And I remembered the word of the Lord, how he said, ‘John baptized with water, but you will be baptized with the Holy Spirit.’ 17 If then God gave the same gift to them as he gave to us when we believed in the Lord Jesus Christ, who was I that I could stand in God’s way?” 18 When they heard these things they fell silent. And they glorified God, saying, “Then to the Gentiles also God has granted repentance that leads to life.”
Water baptism is a symbol of what happens in the baptism en the spirit
It is the baptism en the spirit which unites us with Christ
Having sealed us in Christ it buries us with him and raises and seats us in heavenly places with Him