So, you are saying that they (ISIS, Hamas, Boko Haram, Hizbollah, Al Qaida etc.) are not real muslims? They are also followers of Allah, see Mohammed as their Prophet and the Koran is their holy book. What makes them not real muslims in your eyes? Because they have a different (wrong?) interpretation of verses and hadith?
Morally wrong, sure, from my PoV. From their PoV they are the good guys.
Islam is a religion that teaches a few good things in verses and hadith from the early times of the religion when it was weak and had few members. So they needed to be tolerant and also wanted the Jews and Christians to be tolerant towards them.
Later, after the immigration to Mekka Mohammed changed his teachings and they become more and more intolerant and violent. The religion became more political as the teachings contained more and more text/rules about how to treat non-muslims. According to the koran, "Allah" knew that some verses contradict others, the later (more intolerant verses) abrogate (replace) the earlier peaceful verses (sura 16:101 and 2:106) - so you see that there is a bit of a problem with different verses telling different things.
Don't get me wrong, I would hope that all muslims would only follow the earlier peaceful teachings (and ignore the concept of abrogation) and many already do. But I don't think it helps in telling the others are simply "wrong" becaus that helps avoiding a much needed discussion (self-criticism). It would be better to acknowledge that there are intolerant verses and to understand why they are there and finally to come to the agreement that such intolerant teachings should no longer be accepted as part of the doctrine (well, only as some kind of "rejected part").