for_his_glory &
wondering
There is only one gospel for why this same Peter said this to the Gentiles
clearly on how to receive the remission of sins by believing in Jesus Christ.
Acts 10:43
To him give all the prophets witness, that through his name whosoever believeth in him shall receive remission of sins. 44 While Peter yet spake these words, the Holy Ghost fell on all them which heard the word.
This had happened before water baptism.
One could ask why but in truth, in regards to the Jews, they may be under the water baptism of the Pharisees' as being a disciple of the Pharisees' or under the water baptism of John the Baptist's in being a disciple of John the Baptist's.
Mark 2:18
And the disciples of John and of the Pharisees used to fast: and they come and say unto him,
Why do the disciples of John and of the Pharisees fast, but thy disciples fast not?
So in that regard, water baptism in Jesus's name is required as a public witness that they are believers in Jesus Christ and by that water baptism in Jesus's name, they are now disciples of Jesus Christ,
but the remission of sins is the same for the Jews as it is for the Gentiles by believing in Jesus Christ since Peter was referring to the promise in the scriptures by all the prophets that had witnessed to this in Acts 10:43.
Calling on the name of the Lord or believing in Jesus Christ is the same thing for why his sins were actually washed away. One has to discern between "rise up and be water baptized" and the "calling on the name of the Lord" for how the sins are actually washed away by. Since there is only one gospel,
"whosoever believeth in him shall receive remission of sins."
Scripturally, yes, they do but because scripture cannot go against scripture and there is only one gospel for why Paul testify that he has the right hand of fellowship with His disciples, then only one of us is rightly dividing the word of truth here but only Jesus can help us see that truth.
Galatians 1:6 I marvel that ye are so soon removed from him that called you into the grace of Christ unto another gospel: 7 Which is not another; but there be some that trouble you, and would pervert the gospel of Christ.
Galatians 2:7 But contrariwise, when they saw that the gospel of the uncircumcision was committed unto me, as the gospel of the circumcision was unto Peter; 8 (For he that wrought effectually in Peter to the apostleship of the circumcision, the same was mighty in me toward the Gentiles
9 And when James, Cephas, and John, who seemed to be pillars, perceived the grace that was given unto me, they gave to me and Barnabas the right hands of fellowship; that we should go unto the heathen, and they unto the circumcision.
BTW in case you misread "committed" verse 7, commit does not always mean "I will do it" by a bondage like a commitment which is (evil) but "entrust" as in "He will do it" since it can be defined as rolling the burden over "to Another" in the Bible.
Biblical Definition & Usage of Commit
Anyway, since Paul declared that there is only one gospel, here is no way he could have the right hand of fellowship with James, Cephas ( Peter ), and John unless they were speaking the same thing, and since it was the same Peter that spoke in Acts 2 to the Jews as the same Peter that had spoken to the Gentiles, is why discernment is needed here because there is only one gospel.
When it comes to water baptism, in light of the gospel preached by Peter in being the same to the Gentiles as it is to the Jews, it is not required for salvation, but it is required for new believers in being known publicly as now His disciples.