I have always thought of John's call to repentance and baptism was a sort of precursor to Christ and the Gospel. Sort of making straight the Way, leveling obstacles etc etc...
John preached the gospel of Jesus Christ as plainly stated by John in John 3:36 and repentance and faith was in regard to that gospel.
He refused to baptize those who did not have "fruits of repentance" (Mt. 3:8) and thus regeneration previous to baptism. It was called the "baptism of repentance" because he required the "fruits of repentance" as the prerequisite for baptism in addition to faith in Christ (Jn. 3:36) even before he knew that Jesus of Nazereth was the "Christ" (Jn. 1:29,31).
To suggest that Christ submitted to something other than "Christ-ian" baptism is absurd. The only baptism in existence when He gave the Great Commission to administer baptism to "them" who received the gospel was John's baptism. Jesus himself not merely submitted to it but administered it through his own disicples (Jn. 4:1-2; Lk. 7:30).
There is no record of any of the Apostles being rebaptized.
Rejection of John's baptism as "Christian" baptism is confirming the rejection of it by the scribes and Pharisees and thus making the "counsel of God" faulty counsel that even God would soon reject and require a make over (Lk. 7:29-30).