In some parts of the Quran, there are clear orders to Radical Muslims to fight and kill non-Muslims.  These verses are used by the Muslim Brotherhood and are the third pledge of the Muslim Brotherhood recruitment book.

Al-Nissaa 89 “But if they (non-believers in Islam) turn away, then seize them and kill them wherever you find them.”

Al-Tauba 5 “And when the sacred months have passed, then kill the non-believers wherever you find them and capture them and besiege them and sit in wait for them at every place of ambush.“

Al-Anfal 39 “And fight them (non-believers in Islam) until there is no sedition and the religion, all of it, is for Allah.“