Here is some other prophecies about the coming of the holy prophet of God , Muhammad(SAW), and pilgrimage in Bible.
60:1 Arise, shine; for thy light is come, and the glory of the LORD is risen upon thee.
60:2 For, behold, the darkness shall cover the earth, and gross darkness the people: but the LORD shall arise upon thee, and his glory shall be seen upon thee.
60:3 And the Gentiles shall come to thy light, and kings to the brightness of thy rising.
60:4 Lift up thine eyes round about, and see: all they gather themselves together, they come to thee: thy sons shall come from far, and thy daughters shall be nursed at thy side.
60:5 Then thou shalt see, and flow together, and thine heart shall fear, and be enlarged; because the abundance of the sea shall be converted unto thee, the forces of the Gentiles shall come unto thee.
60:6 The multitude of camels shall cover thee, the dromedaries of Midian and Ephah; all they from Sheba shall come: they shall bring gold and incense; and they shall shew forth the praises of the LORD.
60:7 All the flocks of Kedar shall be gathered together unto thee, the rams of Nebaioth shall minister unto thee: they shall come up with acceptance on mine altar, and I will glorify the house of my glory.
In Isaiah 60:1-7, A prophecy about a Holy man (prophet) bringing the light of God to the world. This holy man would appear in a time of darkness filling the world and covering the earth, He would appear to eliminate the darkness and spread the light of God and his praises.
In Isaiah 60:3 we read "And the Gentiles shall come to thy light ", and that means this Holy Prophet would arise among the Gentiles and his Light would fill his place where the nations would come and visit.
In Isaiah 60:4, we find the people would come from far, the sons and daughters, all would come together for the Light.
In Isaiah 60:5-6 it keeps telling us about the coming of the people from all over the world to the Light.
In Isaiah 60:7, is the clear meaning, it's Kedar (Mekka) , Where its flocks and tribes would be gathered together under the light of God, "they would come up with acceptance on mine altar" (Note: Muslims during the Hajj "pilgrimage" they slaughter the sacrifices as one of the ceremonies and Muslims all over the world share that from their places which is called Eid Al Adha).
"And I Will glorify the house of my glory", and it refers to the Ka'ba in Mekka , the Sacred House for God's glory."
And this prophecy is mentioned in Qur'an :
Surah Al Hajj (the pilgrimage) 22,
26. Behold! We gave the site, to Abraham, of the (Sacred) House, (saying): "Associate not anything (in worship) with Me; and sanctify My House for those who compass it round, or stand up, or bow, or prostrate themselves (therein in prayer).
27. "And proclaim the Pilgrimage among men: they will come to thee on foot and (mounted) on every kind of camel, lean on account of journeys through deep and distant mountain highways; "
(The Noble Quran, 22:26-27)
About "Prophet like unto Moses":
In Deuteronomy 18:18 We find God said to Moses the following:
"I will raise them up a Prophet from among their brethren, like unto thee, and will put my words in his mouth; and he shall speak unto them all that I shall command him."
Regarding this verse, Christians used to interpret it as a prophecy about the coming of the Messiah, and Christian missionaries used to invent so many things to prove the similarity between Jesus and Moses (peace be upon them),but it's self-refuting claim, as it can be refuted by a single verse from Deuteronomy, let's read..
Deuteronomy 34:10 And there arose not a prophet since in Israel like unto Moses, whom the LORD knew face to face,
So this verse from Deuteronomy refutes the claim of "Prophet like unto Moses" to be Jesus (peace be upon them) as Jesus was one of the Prophets of Israel.