I read a lot on Islam and Quran, and I think best source to know and understand something is to listen to it directly from its sources. I also read the material like this, which they use to convert people. That way I will know what I accept and what I reject, and if I am with the truth I have nothing to fear. I am writing directly from the Quran here, without any comments, leaving the judgement to you. To start with some verses from the Quran, telling us about a different miracle of Jesus, him talking in the cradle, but maybe not in the way it would fit in the Gospels.
27.Then she brought him to her people, carrying him. They said, "O
Mary, you have certainly done a thing unprecedented.
28.O sister of Aaron, your father was not a man of evil, nor was your mother unchaste."
29.So she pointed to him. They said, "How can we speak to one who is in the cradle a child?"
30.[Jesus] said, "Indeed, I am the servant of Allah . He has given me the Scripture and made me a prophet.
31.And He has made me blessed wherever I am and has enjoined upon me prayer and zakah as long as I remain alive
32.And [made me] dutiful to my mother, and He has not made me a wretched tyrant.
33.And peace is on me the day I was born and the day I will die and the day I am raised alive."
34.That is Jesus, the son of Mary - the word of truth about which they are in dispute.
35.It is not [befitting] for Allah to take a son; exalted is He! When He decrees an affair, He only says to it, "Be," and it is.
36.[Jesus said], "And indeed, Allah is my Lord and your Lord, so worship Him. That is a straight path." http://quran.com/19/27-36
Islam claims to be the religion of submission to God only. It is a pure monotheistic faith, with severe criticism about trinity, or any other type of polytheism. In Quran anything similar to polytheism is mentioned with anger and mentions the concept of a son with "being an atrocious thing" which would almost make the universe collapse.
88.And they say, "The Most Merciful has taken [for Himself] a son."
89.You have done an atrocious thing.
90.The heavens
almost rupture therefrom and the earth splits open and the mountains
collapse in devastation.
91.That they attribute to the Most
Merciful a son.
92.And it is not appropriate for the Most Merciful
that He should take a son.
93.There is no one in the heavens and
earth but that he comes to the Most Merciful as a servant.
94.He
has enumerated them and counted them a [full] counting.
95.And all
of them are coming to Him on the Day of Resurrection
alone.
96.Indeed, those who have believed and done righteous deeds
- the Most Merciful will appoint for them affection.
97.So, [O Muhammad], We have only made Qur'an easy in the Arabic language that
you may give good tidings thereby to the righteous and warn thereby a
hostile people.
98.And how many have We destroyed before them of
generations? Do you perceive of them anyone or hear from them a sound? http://quran.com/19/88-98
This is one of the most important chapters for Muslims:
1.. Say, "He is Allah , [who is] One,
2. Allah , the Eternal Refuge.
3. He neither begets nor is born,
4. Nor is there to Him any equivalent." http://quran.com/112
This is designated as the most important verse by the Prophet of Muslims:
Allah - there is no deity except Him, the Ever-Living, the Sustainer of [all] existence. Neither drowsiness overtakes Him nor sleep. To Him
belongs whatever is in the heavens and whatever is on the earth. Who
is it that can intercede with Him except by His permission? He knows
what is [presently] before them and what will be after them, and they
encompass not a thing of His knowledge except for what He wills. His
throne extends over the heavens and the earth, and their preservation
tires Him not. And He is the Most High, the Most Great.
http://quran.com/2/255
Following explains the Islamic perspective on Jesus, acknowledging his birth, but claiming he was a human being.
55.[Mention] when Allah said, "O Jesus, indeed I will take you and raise you to Myself and purify you from those who disbelieve and make
those who follow you [in submission to Allah alone] superior to those
who disbelieve until the Day of Resurrection. Then to Me is your
return, and I will judge between you concerning that in which you used
to differ.
56.And as for those who disbelieved, I will punish them
with a severe punishment in this world and the Hereafter, and they
will have no helpers."
57.But as for those who believed and did
righteous deeds, He will give them in full their rewards, and Allah
does not like the wrongdoers.
58.This is what We recite to you, [O
Muhammad], of [Our] verses and the precise [and wise]
message.
59.Indeed, the example of Jesus to Allah is like that of
Adam. He created Him from dust; then He said to him, "Be," and he
was.
60.The truth is from your Lord, so do not be among the
doubters.
61.Then whoever argues with you about it after [this]
knowledge has come to you - say, "Come, let us call our sons and your
sons, our women and your women, ourselves and yourselves, then
supplicate earnestly [together] and invoke the curse of Allah upon the
liars [among us]."
62.Indeed, this is the true narration. And
there is no deity except Allah . And indeed, Allah is the Exalted in
Might, the Wise.
63.But if they turn away, then indeed - Allah is
Knowing of the corrupters.http://quran.com/3/55-63
Islam defines Christianity, that is being a Christ-follower, to be made up by people and rejects the ideas of Judaism, that concentrate on race. Islam calls followers of this two religion as People of the Scripture. Islam claims, Abraham is distorted by "The People of the Scripture". It claims, Abraham was a monotheist, not having anything to do with a Jewish race - he is the grandfather of Israel (Jacob)- and with a Christ to worship.
64.Say, "O People of the Scripture, come to a word that is equitable between us and you - that we will not worship except Allah and not
associate anything with Him and not take one another as lords instead
of Allah ." But if they turn away, then say, "Bear witness that we are
Muslims [submitting to Him]."
65.O People of the Scripture, why do you argue about Abraham while the Torah and the Gospel were not revealed until after him? Then will you
not reason?
66.Here you are - those who have argued about that of which you have [some] knowledge, but why do you argue about that of which you have no
knowledge? And Allah knows, while you know not.
67.Abraham was neither a Jew nor a Christian, but he was one inclining toward truth, a Muslim [submitting to Allah ]. And he was not of the
polytheists.
68.Indeed, the most worthy of Abraham among the people are those who followed him [in submission to Allah ] and this prophet, and those who
believe [in his message]. And Allah is the ally of the believers.
http://quran.com/3/64-68
There are many places like this in Quran, calling "The People of Scripture" to monotheism. The Quran claims to be original and not derived from any other book.
101.[He is] Originator of the heavens and the earth. How could He have a son when He does not have a companion and He created all things? And
He is, of all things, Knowing.
102.That is Allah , your Lord; there
is no deity except Him, the Creator of all things, so worship Him. And
He is Disposer of all things.
103.Vision perceives Him not, but He
perceives [all] vision; and He is the Subtle, the Acquainted.
104.There has come to you enlightenment from your Lord. So whoever will
see does so for [the benefit of] his soul, and whoever is blind [does
harm] against it. And [say], "I am not a guardian over you."
105.And
thus do We diversify the verses so the disbelievers will say, "You
have studied," and so We may make the Qur'an clear for a people who
know. http://quran.com/6/101-105
The Quran has some significant differences than Gospels, because it does not tell the story of Muhammad, but talks to Muhammad, mentioning and telling about other prophets. As can be seen here, the name Muhammad is mentioned only 5 times throughout the whole Quran, while Moses 136 and Jesus 25 times by their names. The significant difference is that Quran tells the stories of Biblical prophets with emphasizing them as being innocent and far from having the atrocities attributed to them in the Old Testament. Noah getting drunk, David getting his soldier killed, Solomon worshiping idols, etc. are false and a result of the distortion of the revelations according to Islam.
Following explains who is Mary and Jesus and the birth of Jesus from the Islamic perspective:
The stance of Quran on Christianity and Biblical characters can be understood better with the following chapters, some of them with the names of them, actually: