FALSE ! The Muslim who kills in the name of Allah is very much considered to be a real Muslim. That's because the Koran not only advocates the killing of "infidels", it commands Muslims to do that. So rather than blame terrorism on the individual terrorist groups, as is proclaimed here, the blame really lies not as much with them as it might seem, and really with the Koran, which is compelling them to do what they do.
I'm not saying that the terrorists are innocent. All adults are aware enough that murder is wrong, but in the case of Muslim terrorists, they are brought up from children to believe that the killing of infidels is proper and necessary.