In Paul's letters, who does the baptizing?

Les explains that Jesus instituted baptism when He said He would baptize with the Holy Spirit, referring to the nation of Israel and looking forward to Pentecost, when they would be inundated or engulfed. The Greek word baptizo means to be engulfed, as Homer and Plato used it for ships sunk at sea. Paul refers to Israel coming out of Egypt and through the Red Sea as baptized unto Moses and unto the cloud; they were not baptized in water, since they crossed on dry land, but were engulfed in Moses’ leadership and in the cloud’s power and protection. Les teaches that baptism in Scripture does not always refer to water baptism. Then there is a complete change of operation by the time of Paul’s letters: it is not Jesus who does the baptizing, but the Holy Spirit, who baptizes predominantly Gentiles and baptizes believers into Christ. This is a complete reversal—in the Jewish economy, Jesus baptizes Jews into the Holy Spirit; in Paul and the revelation of the mysteries, the Holy Spirit baptizes predominantly Gentiles into Christ.