Is Yahweh or Allah the God of Abraham?

In my many discussions with Muslims. They have, pointed out, that i am a misguided
individual following Yeshua. Yeshua they say, did not claim to be God. In this topic. I wish
to, focus on the Tanakh (Old Testament) and compare and contrast this relationship of God  to his people.

I believe Muslims, Christians and Jews have one common ground. We believe in the God of Abraham. How we approach Abraham's God differs.

Muslims on various levels have succeeded in the weakening the Message of Yeshua to their own detriment. I wanted to know. If i removed the New Testament out of the equation i.e. proverbially tying my hands behind my back. Could i come to some conclusion, is Allah the same as Yahweh.

I find that the Tanakh as a document more efficacious when compared to the Quran.
Simply, the oral tradition and the scribing of Jewish documentation follows an extremely
detailed and methodological process. The system of parity checking i.e. counting words
on every line on manuscripts predates the parity error checking used in data
communication protocols used today. 

As for the Quran. Well, i have not found any evidence of a similar process. The current
version is a standardized version that was recompiled from 200 different copies. Who
knows  what was taken out or added or how accurate it is. Simply discarding deficient
copies, implies there was no care taken as to maintaining the authenticity of copies to
begin with. We'll never  know, since Uthman decided to burn the extra copies, so as to
make it impossible to make a fare comparison.

A Muslim by definition is one who submits to the Will of Allah i.e.

Al-Uboodiyah  ~ Being a Divine Slave of Allah an 'Abd' (Slave Worshiper)

Is not Allâh Sufficient for His slave? … [Sûrah Al Zumar: Ayah 36]

If Abraham was a Muslim. We then, conclude that he was a Divine Slave of Allah i.e. submitted
to Allahs will. Is that so? What does the Tanakh and Quran say about Abraham:

ח  וְאַתָּה יִשְׂרָאֵל עַבְדִּי, יַעֲקֹב אֲשֶׁר בְּחַרְתִּיךָ; זֶרַע, אַבְרָהָם אֹהֲבִי.

8 But thou, Israel, My servant, Jacob whom I have chosen, the seed of Abraham
   My friend; [Isaiah 41]

25 Who is better guided in his religion than one who submits totally to GOD, leads a righteous life, according to the creed of Abraham: monotheism? GOD has chosen Abraham as a beloved friend. 
[Surah 4]

Is he a friend or slave of God. The preponderance of Islam is the message has changed.
I am a friend of Yahweh not a slave to Allah.  Surah 4 suggest one thing and the other
passage Surah Al Zumar Ayah 36 suggest something else. Again, more confusion see
 'Jesus Prophet or Son of God'.  I am comfortable with the idea that I am a friend of God.
However, the idea of being a Divine Slave has a total different meaning as being a friend
of God. It does not bode well with my Spirit.