I have read the Quran. Which surprises a lot of people. But then one cannot begin to comment on something unless they understand the subject matter.
There are many verses in the Quran that indicate to me that ISIS (and indeed all radicals) are wrong in what they preach and say.
Example verses:
Firstly:
Fight in the cause of Allah those who fight you, and do not transgress; for Allah loveth not transgressors." (Surah 2, Verse 190)
That is an important one for me, because it seems to indicate (albeit my knowledge is limited) that radicals (who we shall see in a moment are transgressors) are not loved by allah.
O you who believe! Verily, among your wives and your children there are enemies for you (i.e. may stop you from the obedience of Allah), therefore beware of them! But if you pardon (them) and overlook, and forgive (their faults), then verily, Allah is Oft-Forgiving, Most Merciful. (Surah 64 verse 14)
But if they cease (fighting you), Allah is Oft-Forgiving, Most Merciful." (Surah 2, Verse 192).
But if the enemy incline towards peace, do thou (also) incline towards peace, and trust in Allah: for He is the One that Heareth and Knoweth (all things)." (Surah 8, Verse 61).
The prohibited month, for the prohibited month, and so for all things prohibited, there is the law of equality. If then any one transgresses the prohibition against you, transgress ye likewise against him. But fear Allah, and know that Allah is with those who restrain themselves." (Surah 2, Verse 194).
... and let not the hatred of some people in (once) shutting you out of the Sacred Mosque lead you to transgression (and hostility on your part). Help ye one another in righteousness and piety, but help ye not one another in sin and rancour: fear Allah: for Allah is strict in punishment." (Surah 5, Verse 2)
Nor can Goodness and Evil be equal. Repel (Evil) with what is better: then will he between whom and thee was hatred become as it were thy friend and intimate!" (Surah 41, Verse 34)
O ye who believe! stand out firmly for justice, as witnesses to Allah, even as against yourselves, or your parents, or your kin, and whether it be (against) rich or poor: for Allah can best protect both. Follow not the lusts (of your hearts), lest ye swerve, and if ye distort (justice) or decline to do justice, verily Allah is well-acquainted with all that ye do." (Surah 4, Verse 135)
God advocates justice, charity, and regarding the relatives. And He forbids evil, vice, and transgression. He enlightens you, that you may take heed." (Surah 16, Verse 90).
And if ye do punish them, punish them no worse than they punished you: but if ye show patience, that is indeed the best (course) for those who are patient." (Surah 16, Verse 126)
These verses seem to indicate that violence is transgression, particularly if the 'enemy' is sueing for peace. It also indicates that allah does not like transgressors. It also indicates that if someone transgreses them, they should respond similarly, but retrain themselves only to that person/group.
So we can understand from this that Muslims cannot hold entire populations of a country accountable for a transgression against them. They may only hold the individuals behind the transgression accountable. This means that flying aircraft into the WTC buildings and killing 3,000 non-transgressing civilians is, itself, a transgression.
They also indicate that the messages made by ISIS are transgressions, as they seem to call for militant action against The West as a whole rather than individual transgressors. It is also clear to me that most fo the ISIS leadership have themselves not been personally transgressed against by the West and so in both of these senses ISIS are transgressors and not loved by allah.
In conclusion, it seems the Mujahideen (because we all know Al-Queda was invented by the CIA, or should know this by now) and ISIS preace a non-muslim philosphy.
I hope I have this correct.