And when they had come into the house, they saw the young Child with Mary His mother, and fell down and worshiped Him. And when they had opened their treasures, they presented gifts to Him: gold, frankincense, and myrrh.
What does God do when you worship an idol? He curses you, or even strikes you dead. He would not tolerate idolatry in the presence of the Messiah! Obviously. That means that the infant Jesus or His Father should have struck the Magi dead! But He does not. Same with when Saint Thomas touches His wounds, and confesses Him as God. He was worshiped even as a child–the Magi understood the prophecy of Balaam, and that it was the Prince of Peace, the Messiah. As was pointed out, Jesus ascribed to Himself the name of (Tetragram) Yahweh, He says "I AM" in multiple Gospels. Yes, even Mark. That obviously means that He claims to be co-equal with God.
Let's take something we all heard at Christmas, and break it down.
For unto us a Child is born (of a virgin), Unto us a Son is given; And the government will be upon His shoulder. And His name will be called Wonderful (Judges 13 sheds light on this, it's the Angel of Yahweh, Christ in the OT - Numbers 22 clearly shows that the Angel of the LORD is Jesus, notice Balaam's language concerning Him), Counselor, Mighty God(!), Everlasting(!) Father, Prince of Peace.
As a bonus, read Saint John Chrysostom's commentary on Matthew 2:11
"They rejoiced, because their hopes were not falsified but confirmed, and because the toil of so great travel had not been undertaken in vain. By the mystery of this star they understood that the dignity of the King then born exceeded the measure of all worldly kings. “Mary His mother,” not crowned with a diadem or laying on a golden couch; but with barely one garment, not for ornament but for covering, and that such as the wife of a carpenter when abroad might have. Had they therefore come to seekan earthly king, they would have been more confounded than rejoiced, deeming their pains thrown away. But now they looked for a heavenly King; so that though they saw nought of regal state, that star’s witness sufficed them, and their eyes rejoiced to behold a despised Boy, the Spirit shewing Him to the ir hearts in all His wonderful powePost too long. Click here to view the full text.