It is a good question to consider. Why did Jesus not command the baptism should be in the name of your brother? Each Christian's behavior should be a reflection of the one who caused the discipleship. I say God caused it. Christianity says the making of disciples caused it.
It is interesting to note that the Jehovah's Witnesses DO get baptized in the name of the Christian congregation whose job (they say) is to make disciples. Here:
The May 15, 1970 (p. 309) and May 1, 1973 (p. 280) issues printed slightly revised vows. The newest baptismal questions were set forth in the June 1, 1985 (p. 30) Watchtower:
(1) On the basis of the sacrifice of Jesus Christ, have you repented of your sins and dedicated yourself to Jehovah to do his will?
(2) Do you understand that your dedication and baptism identify you as one of Jehovah's Witnesses in association with God's spirit-directed organization?
What are the baptismal vows, then and now? (1)
Baptismal Vows.
It is interesting to note that the Jehovah's Witnesses DO get baptized in the name of the Christian congregation whose job (they say) is to make disciples. Here:
The May 15, 1970 (p. 309) and May 1, 1973 (p. 280) issues printed slightly revised vows. The newest baptismal questions were set forth in the June 1, 1985 (p. 30) Watchtower:
(1) On the basis of the sacrifice of Jesus Christ, have you repented of your sins and dedicated yourself to Jehovah to do his will?
(2) Do you understand that your dedication and baptism identify you as one of Jehovah's Witnesses in association with God's spirit-directed organization?
What are the baptismal vows, then and now? (1)
Baptismal Vows.