Jesus needed no baptism to be righteous nor to be saved. HOWEVER, with the baptism He submitted to in John's baptism was required under the law in order to begin His Rabbinical Ministry. Jesus fulfilled the law so that we are now able to be righteousified through His Faith to which we attach via our confession and 'faithing' daily for the remainder of our life. Notice the dove descended AFTER He came up out of the water. Baptism is a doctrine useful to make an open witness of our 'faithe' in Jesus's righteousness for our being saved (as found in 1 Cor 1:18).
That is an interesting understanding of the Lords obedience to fulfill all righteousness. And the rest of the references?
Since all these are biblical references, (and I would like to know your understanding of them) I will share a single passage here from the Book of Mormon that I do hope you read, it goes straight to the heart of this issue.
2 Nephi 31:
5 And now, if the Lamb of God, he being holy, should have need to be baptized by water, to fulfill all righteousness, O then, how much more need have we, being unholy, to be baptized, yea, even by water!
6 And now, I would ask of you, my beloved brethren, wherein the Lamb of God did fulfill all righteousness in being baptized by water?
7 Know ye not that he was holy? But notwithstanding he being holy, he showeth unto the children of men that, according to the flesh he humbleth himself before the Father, and witnesseth unto the Father that he would be obedient unto him in keeping his commandments.
8 Wherefore, after he was baptized with water the Holy Ghost descended upon him in the form of a dove.
9 And again, it showeth unto the children of men the straitness of the path, and the narrowness of the gate, by which they should enter, he having set the example before them.
Of course, none of this is contrary to the biblical references to the commandment to be baptized.
ACTS 22:16 And now why tarriest thou arise, and be baptized and wash away thy sins calling on the name of the Lord ...that is the way the text would read in the original Greek, no commas, no punctuation to 'confuse'; the 'and' connects the calling on the name of the Lord to the 'wash away thy sins'. Paul later teaches in Romans and Hebrews that the 'washing' is the blood of Christ, not water, so we know he understood this 'washing' differently than you seem to wish to portray it by running the meaning past the 'and' in the Greek. Being baptised and washing away your sins are TWO distinct and different things. ONLY the blood of Christ can wash away your sins.