Islam is totally NOT dependant on Judaism and Christianity because Muslims rely only on the ‘notes’ which were given to Prophet Muhammad by the same ‘teacher’ who taught Moses and Jesus
And the proof of that is in the Koran which says it is, so it is.
Since these notes of Muhammad have remained 100% pure, why then should Muslims be dependant on the earlier notes of Moses and Jesus which we believe have been corrupted by unscrupulous scribes and others who had their own agenda when they altered these notes?
That’s not true. There are interpolations by Muhammad himself! There’s frequent changes of person in the Koran, to where Muhammad himself is speaking instead of al-lah
The very beginning of the Koran states…
1 In the Name of Allah, the Most Beneficent, the Most Merciful.
2 All the praises and thanks be to Allah, the Lord of the 'Alamin (mankind, jinns and all that exists).
3 The Most Beneficent, the Most Merciful.
4 The Only Owner (and the Only Ruling Judge) of the Day of Recompense (i.e. the Day of Resurrection)
5 You (Alone) we worship, and You (Alone) we ask for help (for each and everything).
6 Guide us to the Straight Way
7 The Way of those on whom You have bestowed Your Grace, not (the way) of those who earned Your Anger (such as the Jews), nor of those who went astray (such as the Christians).
Clearly these are the words of Muhammed, speaking to and about Al-lah, they are not the words of al-lah.
6:114
“Shall I seek a judge other than Allah while it is He Who has sent down unto you the Book (The Qur’an), explained in detail.” Those unto whom We gave the Scripture [the Taurat (Torah) and the Injeel (Gospel)] know that it is revealed from your Lord in truth. So be not you of those who doubt.
These too, are the words of Muhammed.
Even more clear, is where Muhammed names himself…
6: 101 He is the Originator of the heavens and the earth. How can He have children when He has no wife? He created all things and He is the All-Knower of everything .
102 Such is Allah, your Lord! La ilaha illa Huwa (none has the right to be worshipped but He), the Creator of all things. So worship Him (Alone), and He is the Wakil (Trustee, Disposer of affairs, Guardian, etc.) over all things.
103 No vision can grasp Him, but His Grasp is over all vision. He is the Most Subtle and Courteous, WellAcquainted with all things.
104 Verily, proofs have come to you from your Lord, so whosoever sees, will do so for (the good of) his ownself, and whosoever blinds himself, will do so to his own harm,
and I (Muhammad ) am not a watcher over you.
51: 50 So flee to Allah (from His Torment to His Mercy Islamic Monotheism), verily, I (Muhammad ) am a plain warner to you from Him.
Obviously Muhammed forgot that he’s not meant to be the author of the Koran.
He gets even more confused when it’s angels now narrating…
37: 161 So, verily you (pagans) and those whom you worship (idols).
162 Cannot lead astray [turn away from Him (Allah) anyone of the believers],
163 Except those who are predestined to burn in Hell!
164 There is not one of us (angels) but has his known place (or position);
165 Verily, we (angels), we stand in rows for the prayers (as you Muslims stand in rows for your prayers);
166 Verily, we (angels), we are they who glorify (Allah’s Praises i.e. perform prayers).
Muhammed is the author of the Koran, and occasionally he forgot that he wasn’t supposed to be, but he made a few slip-ups.
What an atheist believes about Jesus would greatly depend on the cultural environment he or she is living in.
An atheist living in a Muslim country would have no reason to doubt the existence of Muhammad and so he would also have little reason to doubt the existence of Jesus .
Implying that a huge number of atheists convert after visiting Moslem nations.
Now I am almost convinced that you have a totally different version of the Koran that calls Maryam & Issa Jewish because in all the Korans I have read and examined so far such designation is refuted. 
