When it comes to the three largest monotheistic religions, Judaism, Christianity and Islam, we hear that all three share Jesus.
The Jews acknowledge Him as a prophet but deny that He is the promised Messiah.
The Muslims lay claim to Him as their prophet ‘Isa and speak of Him in the Qur’an although also deny His deity.
The Christians believe He is part of the triune Godhead, the Son of God who fulfilled the prophecy of the Scriptures and through His crucifixion and resurrection brought salvation to all believers in Him.

But is ‘Isa of the Qur’an really Jesus of the Bible, the historical Jesus who walked about on Earth around 2000 years ago?
Personally, I do not believe so. In fact, the ‘Isa of the Qur’an does not share the same “vital statistics” or essential facts of Jesus Christ despite the Muslim claim that it is He of whom Muhammad makes reference.

Islam appropriates the history of Judaism and Christianity to itself.

It is quite arguable that Allah is not the triune Christian God, the Creator whom we call Our Father, but that Mohammed when preaching to the Meccans did not introduce a new god, but proclaimed that one of their many gods, Allah, was the greatest and only god. After all, the Meccans did not accuse Mohammed of preaching a different god than they knew. He demanded that they believe in one god, not many as were accepted before.
This view is contraversial but there are some very sound points that support it. Ex-Muslim Abdullah Al Araby makes a strong case for this view in his article God of Christianity vs. Allah of Islam.
Muhammad was backing for a win and a place - while reigning in the beliefs of his own pagan Arab brothers who already worshipped the god called Allah (who incidentally had three daughters in pre-Islamic times), he was linking the name of Allah to the religious histories of Judaism and Christianity as a way to claim them also for Islam. The Jews and Christians saw through this deception and would have none of it.

Dallas M. Roark, Ph.D. writing in his article Is there a true religion? argues this position and sums up as follows:

We cannot conclude that the god of Islam is the same as Yahweh of the Old Testament who becomes Incarnate in Jesus of Nazareth to redeem mankind. This finality in Christ eliminates any other coming prophet such as Muhammad. The epistle of Hebrews speaks with finality about God’s last word, his highest word, coming in his Son. Islam cannot therefore be regarded as an extension, culmination, or completion of the Judeo-Christian tradition. While there are prophets mentioned in the New Testament they were in agreement with the Christian Gospel and did not seek to supersede the New Testament revelation or claim a different revelation.
(Mt. 23:34; Acts 11:27-29; 13:2-3; 15:32;21:9-11; 1 Cor. 12:28-29; Eph. 2:20; 3:5;4:11, for example)

But then, concerning Jesus, the description in the Qur’an of the prophet who is supposedly Him is not at all the same as the Jesus in the Bible. Islam has appropriated Jesus, renamed Him, changed His history, and produced a quite different character which it is claiming to be Him.
Nothing could be further from the truth.
The Qur’an was written in the 7th century AD. It simply cannot be regarded as having any authority whatsoever to inform us about Jesus of Nazareth. It also offers no evidence at all for its claims about biblical history. And futhermore, its numerous historical errors reflect at best a garbled understanding of the Bible.

Dr Mark Durie, writing in his article ‘Isa, the Muslim Jesus, has the following comment to make:

The Jesus of the gospels is the base upon which Christianity developed. By Islamicizing him, and making of him a Muslim prophet who preached the Qur’an, Islam destroys Christianity and takes over all its history. It does the same to Judaism.

This article is well recommended for an outline of the differences between Jesus and the Muslim prophet ‘Isa. It may also be found here.

(Dr Mark Durie is an Anglican Minister at St Hilary's Anglican Church Kew. He is also a senior associate of the Department of Linguistics and Applied Linguistics at the University of Melbourne, with the honorary title of Associate Professor, and was formerly head of the Department of Linguistics and Language Studies. He has written several books on the language and culture of the Acehnese, an Islamic people of Indonesia, and was elected to the Australian Academy of Humanities in 1992 for this research work. He served as a member of the Council of the Academy for a term during the 1990's.)

He goes on to say the following:

Author Shamim A. Siddiqi of Flushing, New York put the classical position of Islam towards Christianity clearly in a recent letter to Daniel Pipes, New York Post columnist:

“Abraham, Moses, Jesus, and Muhammad were all prophets of Islam. Islam is the common heritage of the Judeo-Christian-Muslim community of America, and establishing the Kingdom of God is the joint responsibility of all three Abrahamic faiths. Islam was the din (faith, way of life) of both Jews and Christians, who later lost it through human innovations. Now the Muslims want to remind their Jewish and Christian brothers and sisters of their original din [religion]. These are the facts of history.”

This historical negationism — appearing to affirm Christianity and Judaism whilst in fact rejecting and supplanting them — is a lynchpin of Muslim apologetics. What is being affirmed is in fact neither Christianity nor Judaism, but Jesus as a prophet of Islam, Moses as a Muslim etc. This is intended to lead to ‘reversion’ of Christians and Jews to Islam, which is what Siddiqi refers to when he speaks of ‘the joint responsibility’ of Jews and Christians to establish ‘the Kingdom of God’. By this he means that American Christians and Jews should work to establish shari’ah law and the rule of Islam in the United States.

Muhammad is the prophet of Allah, but was he a prophet of God?

Dr Dallas Roark again:

Mohammed is unlike any prophet in the Bible. Many of his claims to revelation are self-serving. Mohammed’s claim that Muslims could have only four wives while he can have any woman he wanted is self-serving. Mohammed could not stand ridicule and that is why he put to death a Meccan woman who wrote satirical poetry against him. The commands to kill the infidels, those who rejected him, makes Mohammed a man of war, not peace, Mohammed led his forces in about 18 battles and planned about 38 others. The history of Islam beginning with Mohammed is a history of war, conquest, greed, and tyranny. Islam does not allow freedom of religious expression. It does not understand, or acknowledge that forced worship, coercive worship is not real worship at all. Forced worship would only please the Devil, not Yahweh.

All the same, those of us who know the Jesus of the Bible, not the ‘Isa of the Qur’an, know what we must do. Despite what from our perspective is the evil agenda of Islam, we must continue to follow the command we were given.