http://www.thebiblespeaks.com/Articles/Baptism/OneBaptism/baptism.htm
Several of the links from their site links to the Church of Christ.
Yea, I'm sure they, "have no animosity whatsoever against Baptists." I'll stick to the Bible. False teachers are everywhere.
As far as water baptism being essential for salvation is concerned, their anchor verse is Acts 2.38
Peter replied, Repent and be baptized, every one of you, in the name of Jesus Christ for the forgiveness of your sins. And you will receive the gift of the Holy Spirit.
Repent, be baptized and receive the Holy Spirit
But in Acts chapter 10 that same Peter reverses the formula.
44While Peter was still speaking these words, the Holy Spirit came on all who heard the message.
45The circumcised believers who had come with Peter were astonished that the gift of the Holy Spirit had been poured out even on the Gentiles.
Then Peter said,
47 Can anyone keep these people from being baptized with water? They have received the Holy Spirit just as we have.
Repent,receive the Holy Spirit and be Baptized
.
As far as being Baptized in the Name of Jesus Christ as opposed to being Baptized in The Name of The Father, The Son and The Holy Spirit.
Jesus said
Matt. 28:19 Therefore go and make disciples of all nations, baptizing them in£ the name of the Father and of the Son and of the Holy Spirit,
As I told my wife's Jesus name only uncle:
You do what Peter said if you want to but I believe as long as I do it the way JESUS said do it, I'll be safe.