No, not "just as important", no -- worthy of study and consideration, perhaps yes, but if they were "just as important" I do not think God would have allowed them to be either removed for an agenda or left out by accident.
For example, the Magi had knowledge of a star that would guide them to Bethlehem. Micah had prophesied Messiah would come from Bethlehem, which was important -- but whatever non-biblical prophecies led the Magi (about the star) -- it was important for the Magi to find the toddler Jesus in the house and bring gifts, but that doesn't mean our BIBLE is 'incomplete' because it doesn't contain what exactly led the Wise Men to Jesus.
Tee-hee
It never was in the Bible it was in the Book of Mormon. Now Joseph Smith never mentioned this and I didn’t even hear anything about it until a few years ago and my brother thinks I’m a little nutty.
Nephi quoted Isaiah extensively but he never quotes Micah, they don't seem to have Micah. As they go along the prophecy says Jesus will be born in "the land of Jerusalem". They treat it like a city state which was common in those days, today we would call it a county.
In Helaman 14 Samuel the Lamanite gets up on a wall and calls the wicked Nephites to repentance and prophecies about the birth of Jesus.
3 And behold, this will I give unto you for a sign at the time of his coming; for behold, there shall be great lights in heaven, insomuch that in the night before he cometh there shall be no darkness, insomuch that it shall appear unto man as if it was day.
4 Therefore, there shall be one day and a night and a day, as if it were one day and there were no night; and this shall be unto you for a sign; for ye shall know of the rising of the sun and also of its setting; therefore they shall know of a surety that there shall be two days and a night; nevertheless the night shall not be darkened; and it shall be the night before he is born.
5 And behold, there shall a new star arise, such an one as ye never have beheld; and this also shall be a sign unto you.
6 And behold this is not all, there shall be many signs and wonders in heaven.
He jumps down from the wall and then
7 And as they went forth to lay their hands on him, behold, he did cast himself down from the wall, and did flee out of their lands, yea, even unto his own country, and began to preach and to prophesy among his own people.
8 And behold, he was never heard of more among the Nephites;
At that same time
3 Nephi
2 And Nephi, the son of Helaman, had departed out of the land of Zarahemla, giving charge unto his son Nephi, who was his eldest son, concerning the plates of brass, and all the records which had been kept, and all those things which had been kept sacred from the departure of Lehi out of Jerusalem.
3 Then he departed out of the land, and whither he went, no man knoweth;
Some of us Mormons think perhaps that these men and maybe a few more are the Magi.
Matt 2
1 Now when Jesus was born in Bethlehem of Judæa in the days of Herod the king, behold, there came wise men from the east to Jerusalem,
2 Saying, Where is he that is born King of the Jews? for we have seen his star in the east, and are come to worship him.
3 When Herod the king had heard these things, he was troubled, and all Jerusalem with him.
4 And when he had gathered all the chief priests and scribes of the people together, he demanded of them where Christ should be born.
5 And they said unto him, In Bethlehem of Judæa:
All of Jerusalem were troubled, they didn’t know what they were talking about “a star”? Men who go by ship follow stars.
The Magi didn’t know about Bethlehem and the Jews didn’t know about the star.