Learn more about the political system of Islam. The short book, A Self-Study Course on Political Islam Level 1, is particularly informative. Available in paperback, PDF, audio CD, and MP3.
The peaceful cancelled verses are left in the Koran, but their only purpose is for Taqiyya (holy deception) whereby Muslims quote them to gullible non-Muslims to lull them into a false sense of security. The Muslims themselves know that such early verses as 'There is no compulsion in religion' and 'If you kill one person it is as if you killed the whole of humanity' are null, void and abrogated by the later 'Kill the unbelievers wherever you find them'.
Kafirs want to divide Muslims into "moderate" Muslims and "bad" Muslims...
These names are based upon a lack of understanding of the dual nature of political Islam. The word moderate has one meaning to a Muslim and another to a kafir. Inside of Islam, a moderate is one who is moderate with the doctrine. A moderate Muslim is one who follows the Sunna (ideal pattern) of Mohammed...
In Medina Mohammed preached a doctrine of war, jihad. A terrorist is a moderate Medinan Muslim...
The nice Muslim at work is a moderate Meccan Muslim. But since the doctrine of Mecca is subordinate to the doctrine of Medina, the Meccan Muslim does not speak out against the moderate Medinan Muslim...
So, the answer to the question, why moderate Muslims don't protest is that there is no need to protest. The Meccan Muslim knows that what the Medinan Muslim is doing is pure Islam. Why would they protest Islam?
The logic and correct naming must come from Allah and Mohammed, the Koran and the Sunna, the Trilogy. Just as there are two Korans, Meccan and Medinan, there are two kinds of Islam and Muslim. Instead of moderate Islam/Muslim, it is Meccan Islam/Meccan Islam. Instead of radical Islam/Muslim, the correct name is Medinan Islam. Don't say terrorist, say jihadist.
Reference websites on islam and terrorism
Here are a number of websites that focus on the islam terrorist threat and cultural incompatibilities: