The clearest point I take from your replies, and the one I wish to limit myself in addressing, comes from your use of the word "should." That word implies a moral obligation. Even as a Muslim layman (I am assuming), you are making the case. Yet, the leadership -- the ones with the power and authrority and means -- are not. If someone fails to meet a moral obligation, then others have the right to call them on it until they make it good, even if it is the insiders like yourself calling for it. In the meantime, the fair observer must consider Muslim leadership guilty of omission.
There is an ancient maxim of the law: "Qui tacet consentire videtur." "He who is silent appears to consent."
This leads me back to my original assertion: that by their silence they consent to the terror done in the name of Islam. As long as they do not take the steps that even you, a Muslim non-cleric, have very ably suggested they should take, I will hold that view.