Since you claim to worship the same God as the peace loving members of Hamas, ISIS, the Muslim Brotherhood, Al Queda, etc., and especially since you imagine yourself a "Devil's Advocate", here's a little homework for you....
Go to www.shoebat.com and READ the articles and study the accompanying pictures. Don't just gloss over them, but spend a few minutes and engage the few remaining brain cells you have left. Then read the comments that follow the articles.
Now, here's the challenge: if half, just HALF, of the articles are true, can you still in good faith claim to worship the same God that is calling these Muslims to indiscriminately commit rape, torture, and murder? Is there just the smallest chance that Allah is an entirely different Deity than the Deity you purport to worship?
If you still imagine God is Allah, all one and the same, I'd be curious as to how you arrived at that conclusion.