I believe baptism is required, but who does it and how it is done is equally important. Baptism is the gate to the straight and narrow. Without baptism we cannot be saved in the Kingdom of God. Why? No unclean thing can dwell in God's presence, and baptize is a required step for remission of sins.
After his resurrection, Jesus Christ appeared to a group of people in the Americas called Nephites. Here is what is said:
3 Nephi 11
21 And the Lord said unto him: I give unto you power that ye shall baptize this people when I am again ascended into heaven.
22 And again the Lord called others, and said unto them likewise; and he gave unto them power to baptize. And he said unto them: On this wise shall ye baptize; and there shall be no disputations among you.
23 Verily I say unto you, that whoso repenteth of his sins through your words, and desireth to be baptized in my name, on this wise shall ye baptize them—Behold, ye shall go down and stand in the water, and in my name shall ye baptize them.
24 And now behold, these are the words which ye shall say, calling them by name, saying:
25 Having authority given me of Jesus Christ, I baptize you in the name of the Father, and of the Son, and of the Holy Ghost. Amen.
26 And then shall ye immerse them in the water, and come forth again out of the water.
27 And after this manner shall ye baptize in my name; for behold, verily I say unto you, that the Father, and the Son, and the Holy Ghost are one; and I am in the Father, and the Father in me, and the Father and I are one.
28 And according as I have commanded you thus shall ye baptize. And there shall be no disputations among you, as there have hitherto been; neither shall there be disputations among you concerning the points of my doctrine, as there have hitherto been.
29 For verily, verily I say unto you, he that hath the spirit of contention is not of me, but is of the devil, who is the father of contention, and he stirreth up the hearts of men to contend with anger, one with another.
... 33 And whoso believeth in me, and is baptized, the same shall be saved; and they are they who shall inherit the kingdom of God.
34 And whoso believeth not in me, and is not baptized, shall be damned.
... 37 And again I say unto you, ye must repent, and become as a little child, and be baptized in my name, or ye can in nowise receive these things.
38 And again I say unto you, ye must repent, and be baptized in my name, and become as a little child, or ye can in nowise inherit the kingdom of God.