First a note of caution: I did a GIS for "the Camel method" and came up with
this critique which gave me some pause. I think we need to be careful to distinguish the Gospel from the Qur'an and Yahweh God from Allah. I also think that it is a bit worrisome that it uses the Qur'an as its main basis. 1) Muslims discredit any non-Arabic English translation (they even call them interpretations - it's sort of like we view liberal translations of the Bible like the RSV, the JW translation only much worse). I'm not saying don't use them, but I would say that you are better on the firmer ground of Scripture which has the power to divide joints and sinew 2) You are ultimately trying to point them to *the* "book" that Islam at points actually affirms passages in the NT cf. Surah 5:46, 67,69,71. The Qur'an both alleges the corruption of the Holy Scriptures (Surah 5:14-15), but, importantly also affirms it (contradictions are rife in the Qur'an):
Surah 10:94: “If thou wert in doubt as to what We have revealed unto thee, then ask those who have been reading the Book from before thee: the Truth hath indeed come to thee from thy Lord: so be in no wise of those in doubt.” These people of the book include us Christians as well as Jews.
I had the privilege at a GPTS conference to hear Anees Zaka who has a ministry to Muslims and approaches it mostly from a Reformed/Van Tillian approach (he is Egyptian himself and a Reformed Presbyterian who runs a ministry of witness to Muslims). He lectures at both WTS and GPTS. I recommend his two main books. I have read "Truth About Islam" and parts of "Christians and Muslims at the Table". You can see all of his books
here
I think Pergamum is absolutely right to affirm Matthew 11:28. Islam is a law oriented religion with only a transcendent deity (unlike the transcendent/imminent Yahweh). In that way it is a neo-Pharisaism complete with its own strict and unobtainable laws. There are, however, wondrous opportunities to talk about the Gospel as they have already have a (false) concept of Christology. Interestingly, they believe that Allah would not allow the sacrifice of Jesus on the cross and yet one of their central feasts is that of Ede (this year it is at the end of September it celebrates the end of Ramadan and the sacrifice of Ishmael (they get the whole Isaac/Ishmael thing very confused).
But, I also think Pergamum's statement about personal prayer and practical love are vital. The theological arguments must be buttressed by the practical expression of the Gospel.
May God bless your efforts to proclaim the Gospel.
There are other resources if you would like them, I did a paper on Islamic Christology/Soteriology in seminary. I wouldn't recommend that, but my sources were much better and I'd be happy to share some of the bibliography if it would help
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