Question: I keep encountering the teaching that water baptism has no place in this dispensation; ...

Question: I keep encountering the teaching that water baptism has no place in this dispensation; that the entire subject of water baptism is Jewish;...that all mention of “baptism” in the Pauline epistles is baptism of the Holy Spirit;...[and that] baptism in the gospels and the Acts applies to Jewish believers only....Can you help me?

Response: Testing this theory against the Scriptures quickly disproves it. In the Great Commission, Jesus very clearly tells the disciples (and us today) to “preach the gospel to every creature [i.e., to every race, tribe and individual, not only to the Jews]. He that believeth and is baptized shall be saved; but he that believeth not shall be damned” (Mk 16:15-16). It is clear that while failure to be baptized does not damn the soul (not one verse says so), and although it is not part of the gospel (“Christ sent me not to baptize, but to preach the gospel” - 1 Cor:1:17For Christ sent me not to baptize, but to preach the gospel: not with wisdom of words, lest the cross of Christ should be made of none effect.
See All...; see also 1 Cor:15:1-4 [1] Moreover, brethren, I declare unto you the gospel which I preached unto you, which also ye have received, and wherein ye stand; [2] By which also ye are saved, if ye keep in memory what I preached unto you, unless ye have believed in vain. [3] For I delivered unto you first of all that which I also received, how that Christ died for our sins according to the scriptures; [4] And that he was buried, and that he rose again the third day according to the scriptures:
See All...), yet all who believe the gospel are to be baptized. Christ told the disciples to teach or disciple “all nations [i.e., not only Jews but every nationality], baptizing them in the name of the Father, and of the Son, and of the Holy Ghost” (Mt 28:19). The Great Commission required the disciples to teach their converts to obey everything Christ had commanded them (v 20). Thus each new convert was also to make disciples and teach them to obey all that Christ had taught the original twelve—which included, then and today, baptizing converts from every nation.

We have the record that every Gentile convert was baptized. The Corinthians, who were surely not all Jews but mostly Gentiles, were baptized (1 Cor:1:14-17 [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. [17] For Christ sent me not to baptize, but to preach the gospel: not with wisdom of words, lest the cross of Christ should be made of none effect.
See All...), as was an Ethiopian when he believed the gospel (Acts:8:35-39 [35] Then Philip opened his mouth, and began at the same scripture, and preached unto him Jesus. [36] And as they went on their way, they came unto a certain water: and the eunuch said, See, here is water; what doth hinder me to be baptized? [37] And Philip said, If thou believest with all thine heart, thou mayest. And he answered and said, I believe that Jesus Christ is the Son of God. [38] And he commanded the chariot to stand still: and they went down both into the water, both Philip and the eunuch; and he baptized him. [39] And when they were come up out of the water, the Spirit of the Lord caught away Philip, that the eunuch saw him no more: and he went on his way rejoicing.
See All...). So were the Roman centurion, Cornelius, and his relatives when they believed (Acts:10:47-48 [47] Can any man forbid water, that these should not be baptized, which have received the Holy Ghost as well as we? [48] And he commanded them to be baptized in the name of the Lord. Then prayed they him to tarry certain days.
See All...). Likewise the Philippian jailor (a Gentile) and his house were baptized after they believed on Christ (Acts:16:30-33 [30] And brought them out, and said, Sirs, what must I do to be saved? [31] And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house. [32] And they spake unto him the word of the Lord, and to all that were in his house. [33] And he took them the same hour of the night, and washed their stripes; and was baptized, he and all his, straightway.
See All...). There are other scriptures, but these should be sufficient to show that baptism is for today and for all (not just Jews) who believe the gospel. If this generation is to preach the gospel, which it is commanded to do, then it must continue to baptize all who believe it. If only Jews are to be baptized, then the gospel must be only for them. But that is not biblical and would leave the rest of us unsaved. The gospel is “to the Jew first, and also to the Greek [non-Jew]” (Rom:1:16For I am not ashamed of the gospel of Christ: for it is the power of God unto salvation to every one that believeth; to the Jew first, and also to the Greek.
See All...).

While baptism doesn’t save, it is an act of obedience on the part of believers who are saved, a declaration to the world that they have been saved not by their good works but by the death, burial and resurrection of Christ, of which baptism is a symbol: “Therefore we are buried with him by baptism into death: that like as Christ was raised up from the dead by the glory of the Father, even so we also should walk in newness of life” (Rom:6:4Therefore we are buried with him by baptism into death: that like as Christ was raised up from the dead by the glory of the Father, even so we also should walk in newness of life.
See All...). Baptism is therefore inappropriate for infants who have made no choice to believe the gospel. Paul makes it clear in 1 Corinthians:1:14-17 [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. [17] For Christ sent me not to baptize, but to preach the gospel: not with wisdom of words, lest the cross of Christ should be made of none effect.
See All... that baptism is not part of the gospel; one is saved without being baptized. But those who believe are baptized and since salvation is for all, baptism is for all, Gentiles as well as Jews.