Both Catholicism and Mormonism (along with Campbellism) teach that water baptism obtains remission of sins/must be water baptized in order to be saved. You are in agreement here with two false religions that pervert the gospel and teach salvation by works. Then you have the audacity to reject the very words of Jesus in Matthew 28:19 just like your Oneness Pentecostal friends who also reject the very words of Jesus in Matthew 28:19 (because they reject the Trinity) and they also teach that in order to be saved, one must be water baptized, along with teaching that speaking in tongues is a necessary manifestation of the Holy Spirit and since a person cannot be saved without the Holy Spirit, it follows that only those who have spoken in tongues are really saved according to them. YOU ARE NOT IN GOOD COMPANY!
So for the umpteenth time, the phrase, "in the name of Jesus," is not a reference to a rigid, salvic, baptismal formula but is a reference to authority. In Matthew 28:19, Jesus clearly stated, "Go therefore and make disciples of all the nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit.. So to baptize in the name of the Father, and of the Son, and of the Holy Spirit is to baptize in Jesus' name/by His authority. If you continue to insist on rejecting the very words of Jesus in Matthew 28:19 and promoting your rigid, baptismal formula and perverted water gospel, then I can't help you any further. All I can do is continue to pray that you will come to repent and believe the gospel. I hope and pray that the Lord will one day open your eyes to the truth.
And you hold to a rigid view of repeating the words of Jesus rather than actually baptizing in the singular NAME he was speaking of. In context Jesus mentions "all POWER is given unto ME" and that refers to authority. Then he tells them "teaching them... all things whatsoever I have commanded you", and "I am with you always". Matthew 28:18-20 is nothing but JESUS, JESUS, JESUS.
Then go to the parallel great commission in Luke 24:47 "and that repentance and remission of sins should be preached in HIS NAME, among all nations".
So, Peter on the day of Pentecost did what Jesus commanded and baptized in the NAME of Jesus. You see they didn't repeat Jesus' words they obeyed his words. You just come from a tradition that lost the truth of baptism as given by the apostles. Why not just follow what the apostle said?
That should be enough to convince anyone to be baptized in the name of Jesus.
Furthermore, your "authority" argument is pretty weak anyways. 1. What is to prevent someone from just saying Acts 2:38 is the way to baptize and Jesus in Matthew 28 was just referring to "authority"? Your switch-a-aroo of authority is totally arbitrary.
2. So, if you say that Matthew 28:19 is speaking of the authority of JESUS and that is what the Apostles meant in Acts, then are you saying that baptism was not done by the Apostles under the authority of the two other persons of the Trinity? Why didn't the apostles mention the two other persons of the Trinity in the book of Acts baptisms?
3. What better way to invoke the authority of JESUS than by plainly speaking his name? The Apostles were persecuted and told not to preach in JESUS name anymore. Well how did the authorities know that they preached JESUS if they didn't mention his name? Speaking the actual name and authority are closely related.
4. There are many billions of fathers and many sons in the world. How does the title of father and son invoke authority? Can you sign a check or a mortgage using your title such as "son"?