Well if we talk about g*d then iam one of those that dont believe that muslims pray to the same g*d as we do. And its pretty simple why i believe that.
The g*d in the quran(like the one in the christian bible) seems to be rather funny and not true to his word.
If we assume that the muslim g*d and the jewish one are the same then he must have hit his head pretty hard during those thousands of years while making fun of us.
If g*d is without time and exists during any moment the same he already knows what was going to happen. So he already knew that we jews would alter the TaNaKh before we actually did it. And he obviously also knew that he would change his mind along the way.
He gives us an everlasting convenant while he already knows that he would change his mind and enter the whole Islam thingy with mohammed.
But that would mean that he lied. And thats a big no-no i think. Personally i wouldnt like such a g*d that claims to say the truth while history tells you otherwise.
The same goes for christianity where g*d reintruduced human sacrifice and other various funny stuff that he actually condems.
But of course people are free to believe in whatever they want to. At least in the western world.
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Here is what Mamonides says:
The Ishmaelites are not at all idolaters; [idolatry] has long been severed from their mouths and hearts; and they attribute to God a proper unity, a unity concerning which there is no doubt.
And because they lie about us, and falsely attribute to us the statement that God has a son, is no reason for us to lie about them and say that they are idolaters . . . And should anyone say that the house that they honor [the Kaaba] is a house of idolatry and an idol is hidden within it, which their ancestors used to worship, then what of it? The hearts of those who bow down toward it today are [directed] only toward Heaven . . . [Regarding] the Ishmaelites today – idolatry has been severed from the mouths of all of them [including] women and children. Their error and foolishness is in other things which cannot be put into writing because of the renegades and wicked among Israel [i.e., apostates]. But as regards the unity of God they have no error at all.[3]
...
Once the doctrine of the Trinity became known to the Rabbis, they regarded Christianity as no different than polytheism, putting the Christians in the same category as the idolaters of old. ... In Maimonides' system there was one point on which Christianity, although idolatrous, actually stood above Islam. The Talmud states that it is forbidden to teach Torah to Gentiles, and this interdiction is codified by Maimonides. However, he makes an exception for Christians, because they believe in the same text of the Bible as the Jews and it is thus possible that, after having studied, they will recognize the error of their ways.
For Muslims, however, because they do not accept that the five books of Moses are Divine, such a possibility is not to be considered. It is, therefore, forbidden to teach them Torah.(21)
Now, if you have some reviews by Jewish scholars, suggesting Muslims do not have a Jewish concept of God, then share it with us.