This is also one of the fantastic prophecies telling about Muhammad (Peace be upon him). This prophecy was told in the Hadiths, there is a lot of variation between it and what is said in Isaiah, but textual variants are present much in Bible scripts, and there are many inaccurate quotes made by writers of the NT, lets look at the hadith in Bukhari:
"O Prophet ! We have sent you as a witness (for Allah's True religion) And a giver of glad tidings (to the faithful believers), And a warner (to the unbelievers) And guardian of the illiterates(gentiles). You are My slave and My messenger (i.e. Apostle). I have named you "Al-Mutawakkil" (who depends upon Allah). You are neither discourteous, harsh Nor a noise-maker in the markets And you do not do evil to those Who do evil to you, but you deal With them with forgiveness and kindness. Allah will not let him (the Prophet) Die till he makes straight the crooked people by making them say: "None has the right to be worshipped but Allah," With which will be opened blind eyes And deaf ears and enveloped hearts."
Now let's examine the Biblical script:
Isa 42:1 Behold, my servant, whom I uphold; my chosen, in whom my soul delighteth: I have put my Spirit upon him; he will bring forth justice to the Gentiles.
The first thing the prophecy tells about is that the one being foretold is that he is a servant for God, which can't be applied for Jesus(Peace be upon him) by the Christian view since Christians say that he is God, it may be said that this is for the human nature, this won't be logical because if God wants to foretell about his coming, He would have foretold about the divine nature not the human nature, since all of us are humans, so there won't be something new in the prophecy.
Then the prophecy tells that he will bring justice to the gentiles, this also is not Jesus (Peace be upon him) because he said "I was not sent but unto the lost sheep of the house of Israel. "(Mat 15:24), somene will object telling that he ordered the disciples to preach the gospel to the whole world, well these are the disciples not him, and this was confirmed by Albert Barnes:
"Mat_15:24
But he answered and said, I am not sent ... - This answer was made to the woman, not to the disciples.
The "lost sheep of the house of Israel" were the Jews. He came first to them. He came as their expected Messiah. He came to preach the gospel himself to the Jews only. Afterward it was preached to the Gentiles, but the ministry of Jesus was confined almost entirely to the Jews."
Isa 42:2 He will not cry, nor lift up his voice, nor cause it to be heard in the street. Isa 42:3 A bruised reed will he not break, and a dimly burning wick will he not quench: he will bring forth justice in truth. Isa 42:4 He will not fail nor be discouraged, till he have set justice in the earth; and the isles shall wait for his law.
Then the prophecy tells about his morals, you can read the
morals section to see how was the Prophet's actions, see for example these hadiths:
Anas Ibn Malik reported: I served the Messenger of Allah (may peace be upon him) for ten years, and, by Allah, he never said to me any harsh word, and he never said to me about a thing as to why I had done that and as to why I had not done that. (Al Bukhari)
The Prophet never took revenge (over anybody) for his own sake but (he did) only when Allah's Legal Bindings were outraged in which case he would take revenge for Allah's Sake. And he never used bad language. He used to say "The best amongst you are those who have the best manners and character."He never criticized any food (presented him), but he would eat it if he liked it; otherwise, he would leave it without expressing his dislike. ( Al Bukhari more than one hadith)
He kept on telling about Islam, and faced a lot of harm, but he wasn't discouraged till God gave him the victory.
The prophecy approaches and says that the isles shall wait for his law, Muhammad(Peace be upon him) came with the final law, while Jesus (Peace be upon him) didn't come to abolish but to fulfill.
Isa 42:11 Let the wilderness and the cities thereof lift up their voice, the villages that Kedar doth inhabit; let the inhabitants of Sela sing, let them shout from the top of the mountains.
Then the prophecy gives 2 special places, Kedar and Sela, Kedar is the second son of Ishmael (Genesis 25:13), Sela is a mountain in Medina, and it was mentioned in hadiths, you may say that the Bible's dictionary tells that it is Petra, well there may be more than one Sela as Seir for example:
H8165
say-eer'
Formed like H8163; rough; Seir, a mountain of Idumaea and its aboriginal occupants, also one in Palestine: - Seir.(Strong's dictionary)
Besides according to what I know nothing happened in Petra with Jesus (Peace be upon him), and even if it was Petra, Petra is in Jordan which is a Muslim country. You may say that this verse meant that all people will be happy with the coming of Jesus, I say: Christianity in Arabia was limited in Najran in Yemen, and in the borders with the Roman country which was mostly a political alliance not a real belief, but as for the overwhelming majority of Arabs, they were not Christians, and Christians were very few, but when Islam came, all of them became Muslims, if the prophecy really meant that it would have said Rome for example or any city which is well-known to be a citadel of Christianity.
Isa 42:13 Jehovah will go forth as a mighty man; he will stir up his zeal like a man of war: he will cry, yea, he will shout aloud; he will do mightily against his enemies.
Then the prophecy tells about fighting God's enemy which is certainly what Muhammad (Peace be upon him) did, while Jesus(Peace be upon him) didn't fight.
Isa 42:17 They shall be turned back, they shall be utterly put to shame, that trust in graven images, that say unto molten images, Ye are our gods.
Then it tells that those who worship the idols would come into shame, Muhammad(Peace be upon him) was sent to a pagan environment, while Jesus (Peace be upon him) was sent to the Jews.
Finally the prophecy says:
Isa 42:18 Hear, ye deaf; and look, ye blind, that ye may see. Isa 42:19 Who is blind, but my servant? or deaf, as my messenger that I send? who is blind as he that is at peace with me, and blind as Jehovah's servant?
Muhammad (Peace be upon him) was seeking God before being a prophet, as God says in the Quran:
52. And thus have We revealed to thee the Word by Our command. Thou didst not know what the Book was, nor what the faith. But We have made the revelation a light, whereby We guide such of Our servants as WE please. And, truly, thou guidest mankind to the right path, (Holy Quran 42:52)
While Jesus (Peace be upon him) was in an Israelite environment who had God's message, and he went to the temple since he was young, so this can't be applied on him.