Is belief in the suspension or replacement of any of the previous covenants necessary for salvation today? Is belief in the suspension or replacement of any of the previous covenants necessary for salvation today?

To those who wants a longer wording: Is belief in the suspension or replacement of any of the previous Biblical Covenants necessary for Salvation after the New Covenant or New Testament was given? Why? Why not?

I have no interest whatsoever in promoting one Christian view over the other, and therefore, I am always interested in an overview ... of the major views in Christianity in regards to this question.
No, what people believe about the Old Testament Covenants is not essential to salvation, although a proper understanding of why God introduced those Covenants is critical to appreciating the significance of the New Covenant.  All of the Old Testament Covenants point forward to the coming of Christ Jesus who introduced the New Covenant the night he was betrayed.  That Covenant is not limited to Jews, but is open to any and all who acknowledge they are sinners in need of a saviour, and who repent and turn to God.
Before Jesus came to earth the basis for salvation was faith in God and in God’s promises.  Hebrews chapter 11 lists many Old Testament characters who, because of their faith in God, were assured of being the recipients of God’s promises:

”All these people were still living by faith when they died.  They did not receive the things promised; they only saw them and welcomed them from a distance.  And they admitted that they were aliens and strangers on earth... Instead, they were longing for a better country – a heavenly one.  Therefore God is not ashamed to be called their God, for he has prepared a city for them” (Hebrews 11:13-16).

Today, faith is still essential to salvation.  Here are a few relevant Bible verses:

”But God, being rich in mercy, because of the great love with which he loved us, even when we were dead in our trespasses, made us alive together with Christ—by grace you have been saved— and raised us up with him and seated us with him in the heavenly places in Christ Jesus, so that in the coming ages he might show the immeasurable riches of his grace in kindness toward us in Christ Jesus. For by grace you have been saved through faith. And this is not your own doing; it is the gift of God, not a result of works, so that no one may boast. For we are his workmanship, created in Christ Jesus for good works, which God prepared beforehand, that we should walk in them” (Ephesians 2:4–10).

The means God has chosen to bestow His grace upon us is through faith. “Now faith is being sure of what we hope for and certain of what we do not see” (Hebrews 11:1). Salvation is obtained by faith in God’s Son, Jesus Christ, in what He has done—specifically, His death on the cross and His resurrection. But even faith is not something we generate on our own. Faith, as well as grace, is the gift of God (Ephesians 2:8). He bestows saving faith and saving grace upon us in order to redeem us from sin and deliver us from its consequences. So God saves us by His grace through the faith He gives us. Both grace and faith are gifts.
The book of Romans describes God’s plan of salvation.  It shows how we must first acknowledge that we are sinners and place our trust in what Jesus Christ has done to atone for our sin.  Salvation, the forgiveness of sins, is available to anyone who will trust in Jesus Christ as their Lord and Saviour.

“...if you confess with your mouth Jesus as Lord, and believe in your heart that God raised Him from the dead, you will be saved&quot; (Romans 10:9).
&quot;...for everyone who calls on the name of the Lord will be saved&quot; (Romans 10:13).

Salvation depends on coming to saving faith in Jesus Christ and accepting that only through his death and resurrection can we receive forgiveness for our sins and be adopted into God’s family.  As far as I know, all Christians understand this basic principle of salvation – faith in God and in what God has done, in Jesus Christ, to atone for our sins so that we may receive eternal life.
I found an article that explains how people were saved prior to the coming of Jesus and the introduction of the New Covenant.  It shows how the Old Testament saints were aware of the promised Redeemer, and they were saved by faith in that Saviour, the same way people are saved today. There is no other way. Jesus is “‘the stone you builders rejected, which has become the capstone.’ Salvation is found in no one else, for there is no other name under heaven given to men by which we must be saved” (Acts 4:11-12, quoting Psalm 118:22).
https://www.gotquestions.org/Old-Testament-salvation.html