There is no muslim (extremist or not) law that encourages these acts, research it. You can tweak any law to do exactly as you wanted to do and that's what those

There is no muslim (extremist or not) law that encourages these acts, research it. You can tweak any law to do exactly as you wanted to do and that's what those people are doing. The last thing I know about a war (if we put this as a kind of war) is don't cut trees, don't kill non-armed soldier, women, children or old people but they keep beheading people on national television.