I agree, when they were water baptized they were added BY the Holy Spirit. Man doesn't add people to the church.
The words of Paul here make it plain that it is the One Spirit Who baptizes believers into the Body of Christ:
"For by one Spirit are we all baptized into one body, whether we be Jews or Gentiles, whether we be bond or free; and have been all made to drink into one Spirit" (1 Cor.12:13).
This verse states in no uncertain terms that "we are all baptized into one body" BY One Spirit.
And of course once the One Spirit baptizes a person to the Body of Christ they are added to that Church.
But you say that we are not baptized into the Body BY the Holy Spirit.
I see no evidence to support your claim they received tongues in the passage.
In order to find the truth let us look at the following passage where the same phrase "gift of the Holy Spirit" is used:
"While Peter was still speaking these words, the Holy Spirit came on all who heard the message. The circumcised believers who had come with Peter were astonished that the gift of the Holy Spirit had been poured out even on Gentiles. For they heard them speaking in tongues and praising God" (Acts 10:44-46).
The Holy Spirit fell on Cornelius and his household and those who had accompanied Peter were astonished that "the gift of the Holy Spirit had been poured out on Gentiles." How did they know that the gift of the Holy Spirit had been poured out on Cornelius and his household?
They knew that they had received the "gift Holy Spirit" because
"they heard them speak with tongues." Let us look at these verses again:
"...the gift of the Holy Spirit had been poured out even on Gentiles. For they heard them speaking in tongues and praising God."
Here the word "for" is translated from the Greek word
gar, and the meaning of that word as used here is
"it addresses the Cause or gives the Reason of a preceding statement or opinion" (
Thayer's Greek-English Lexicon).
The reason that those with Peter knew that the gift of the Holy Spirit had been poured out was because they heard them speak with tongues. So we can understand that the "gift of the Holy Spirit" is the ability to speak in tongues.
Could you provide verses about baptism after the cross that support your understanding that it's purpose is the same?
The baptism before the Cross was a baptism of repentance for the remission of sins and the baptism after the Cross was the same:
"Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Spirit" (Acts 2:38).