Muhammad insists that he should not be worshipped.
It is not (possible) that a man, to whom is given the Book, and Wisdom, and the prophetic office, should say to people: “Be ye my worshippers rather than Allah’s”: on the contrary (He would say) “Be ye worshippers of Him Who is truly the Cherisher of all: For ye have taught the Book and ye have studied it earnestly.” Surah 3:79
No man, says the Koran, should be worshipped or elevated to a status higher than God, unless he is God. Muhammad, by his own admission, is clearly a man.
And Muhammad is no more than a messenger; the messengers have already passed away before him; if then he dies or is killed will you turn back upon your heels? And whoever turns back upon his heels, he will by no means do harm to Allah in the least and Allah will reward the grateful. Surah 3:144
Say: I am no new thing among the messengers (of Allah), nor know I what will be done with me or with you. I do but follow that which is inspired in me, and I am but a plain warner. Surah 46:9
While Muhammad refused worship, Jesus accepted it, according to the Bible. The Wise Men worshipped him when they arrived and found the Christ child. After Jesus walked across the water, the disciples worshipped him.
And when they climbed into the boat, the wind died down. Then those who were in the boat worshiped him, saying, “Truly you are the Son of God.” Matthew 14:32-33
And after Jesus ascended into heaven, gone from their presence, they worshipped him.
While he was blessing them, he left them and was taken up into heaven. Then they worshiped him and returned to Jerusalem with great joy. And they stayed continually at the temple, praising God. Luke 24:51-53
They worshipped Jesus after he proved his claims about being God by doing miracles. Muhammad claimed he could not do miracles.
They say: “We shall not believe in thee, until thou cause a spring to gush forth for us from the earth, Or (until) thou have a garden of date trees and vines, and cause rivers to gush forth in their midst, carrying abundant water; Or thou cause the sky to fall in pieces, as thou sayest (will happen), against us; or thou bring Allah and the angels before (us) face to face: “Or thou have a house adorned with gold, or thou mount a ladder right into the skies. No, we shall not even believe in thy mounting until thou send down to us a book that we could read.” Say: “Glory to my Lord! Am I aught but a man,- a messenger?” Surah 17:90-93
The main difference between Muhammad and Jesus is Muhammad claimed in the Koran to be a man and Jesus in the Bible claimed to be God.[1]
No messenger should receive worship, since he works for someone greater than himself. A messenger is a servant. No prophets of the Bible ever accepted worship. The disciples and apostles of Jesus refused it. Muhammad, being a true messenger, would refuse such worship too.
Jesus did not refuse worship in the Bible. He accepted it because he claimed he was more than just a man.
Muslims believe to worship Jesus is a sin. They believe he is only a prophet. However, they worship Muhammad who is also only a man.
[1] The Koran even supports the miracles Jesus performed that proved he was more than a messenger.
