Oh my dear brother you are so confused in your theology. You are correct that Paul was sent the gospel to the gentiles ad Peter preached to the Jews but the preached the same gospel call with the same response to the call.
Let reason this difference of view out with scripture help. You want to point to 1 Corinthians 1:17 as proof that Paul did not tach as Peter in Acts 2:38 that being Paul said he wasn't sent to baptize but to preach the gospel that he did not preach baptism but scripture does not allow that view and in fact in the same chapter you use it refutes that view
13 Is Christ divided? was Paul crucified for you? or were ye baptized in the name of Paul? ( the logical answer is no Christ died for me so I was baptized in the name of Christ) {see teaching why to be baptized in Christ name see Romans 6}
13 Is Christ divided? was Paul crucified for you? or were ye baptized in the name of Paul?
14 I thank God that I baptized none of you, but Crispus and Gaius;
15 Lest any should say that I had baptized in mine own name.
16 And I baptized also the household of Stephanas: besides, I know not whether I baptized any other.
These verses tell that Paul did teach baptism and even did baptize a few but tells why he doesn't make it a practice of doing the baptizing not preaching against it but just not doing the dipping in fear of some should say that I had baptized in mine own name.
So yes Paul taught the same message as Peter for God is not a respecter of person but all are called by the same gospel whether they be Jew or gentile. Paul also taught the Ephesians in Acts 19 the baptism in Christ name and personally baptized them.
The baptism in Christ name is as much part of the grace as the faith as Jesus said he that believes and is baptized will be saved. saving faith is active not hearing only but doing the gospel is to be obeyed.
You keep repeating the phrase "same gospel = same response," but that’s your equation, not Scripture's.
The Bible never says "“same gospel = same formula." It says same gospel, different stewardship, different audience & different revelation. That's what scripture records Paul teaching.
I'll address your points 1 by 1.
You quoted 1 Cor 1:13–16 as if it supports your view, but you skipped the part that destroys your argument: Christ sent me NOT to baptize, but to preach the gospel. (1 Cor 1:17). If water most essential part of salvation/AS USE CLAIM. Paul could never say that.
Paul DID baptize a few. But that proves nothing about a formula. Paul baptizing a handful of people does NOT mean: He preached YOUR obsession water baptism formula as part of the gospel & no place in scripture cites that he did. He
NEVER preached water as the means of receiving the Spirit NEVER! He does say: Christ did NOT send me to baptize & I thank God I baptized none of you.
You keep claiming Paul baptized the Ephesians in Acts 19. But the text never says that. In Acts 19:4 Paul’s ONLY recorded instruction: Was that they should BELIEVE on him which should come after him, that is, on Christ Jesus. Acts 19:6 Than the Spirit comes by laying on of hands, not water. This isn't your salvation holy grail formula, Peter' preached in Acts 2
He that believes is baptized will be saved” — you’re misusing it
You quoted Mark 16:16, Jesus say's He that believeth (FAITH 1st NOT your salvation holy grail formula order, Peter' preached in Acts 2) & you skipped the second half: Jesus said; He that is not baptized will be condemned. Jesus ties condemnation to UNBELIEF & NOT lack of water baptism.
"Same gospel" does NOT mean "same administration" Same gospel? Yes. Same stewardship? No. Same audience? No. Same revelation? No. Same commission? No. Same baptismal emphasis? No. Paul says:
Given to ME for YOU Gentiles. To whom I NOW send you. "MY gospel." "I laid the foundation." "I received my administration/stewardship/commission, NOT from man but by direct revelation of Jesus Christ.
Peter confirms Paul's administration/stewardship/commission: Peter say's Paul's writings contain wisdom given to him. People twist Paul's writings to their destruction. If Peter & Paul preached the same formula, Peter would not warn people about misunderstanding Paul.
Your entire argument ASSUMESS what you're trying to prove. You keep saying: Paul preached Acts 2:38 because Peter preached Acts 2:38. But Paul says:
Christ did NOT send me to baptize. You received the Spirit by hearing of faith. I thank God I baptized none of you. "One baptism" = Spirit baptism (1 Cor 12:13). If Peter & Paul preached the same message. Please advise where Peter say's. What Paul just said. The two administration/stewardship/commission done line up in scripture.
Finally, you closed with this:
"""The baptism in Christ name is as much part of the grace as the faith as Jesus said he that believes and is baptized will be saved. saving faith is active not hearing only but doing the gospel is to be obeyed."""
SAVED By GRACE = unearned favor [baptism in Christ name has nothing to do with God's GIFT of GRACE] thru FAITH Salvation is given by Christ' GIFT of the Holy Spirit [NO H2O REQUIRED]. And no surprise you just added another works requirement OBEY.
Genuine faith will result in good works.
Rom 1:5 "Through him we received grace" & apostleship "to call all the Gentiles to the obedience" "that comes from faith" for his name’s sake
(MY NOTE: A Gentiles Faith leads to obedience)
Rom 16:26 Now revealed & made known through the prophetic writings by the command of the eternal God, "so that all the Gentiles might come to the obedience," "that comes from faith"
(MY NOTE: A Gentiles obedience is a direct result of their Faith)
When true Faith is the root obedience & good works will be the fruit.
Good works are the evidences of Genuine FAITH & not a requirement or the cause of salvation.