You mention checking more than one source regarding the purity of Muslims verse the "extremists". It appears that you yourself have missed 2 extremely important sources, so I'm going to include a few verses of each, just so you can say you have been thorough. These are from the Quran and the Hadith (very improtant books in Islam- pay special attention to what is in bold):  Quran (2:191-193) - "And slay them wherever ye find them, and drive them out of the places whence they drove you out, for persecution [of Muslims] is worse than slaughter [of non-believers]... but if they desist, then lo! Allah is forgiving and merciful. And fight them until persecution is no more, and religion is for Allah."  Quran (2:244) - "Then fight in the cause of Allah, and know that Allah Heareth and knoweth all things." Quran (2:216) - "Fighting is prescribed for you, and ye dislike it. But it is possible that ye dislike a thing which is good for you, and that ye love a thing which is bad for you. But Allah knoweth, and ye know not."  Quran (3:56) - "As to those who reject faith, I will punish them with terrible agony in this world and in the Hereafter, nor will they have anyone to help."  Quran (3:151) - "Soon shall We cast terror into the hearts of the Unbelievers, for that they joined companions with Allah, for which He had sent no authority".  Quran (4:74) - "Let those fight in the way of Allah who sell the life of this world for the other. Whoso fighteth in the way of Allah, be he slain or be he victorious, on him We shall bestow a vast reward."  Quran (4:76) - "Those who believe fight in the cause of Allah…"  (4:89) - "They but wish that ye should reject Faith, as they do, and thus be on the same footing (as they): But take not friends from their ranks until they flee in the way of Allah (From what is forbidden). But if they turn renegades, seize them and slay them wherever ye find them; and (in any case) take no friends or helpers from their ranks."  Quran (4:95) - "Not equal are those believers who sit (at home) and receive no hurt, and those who strive and fight in the cause of Allah with their goods and their persons. Allah hath granted a grade higher to those who strive and fight with their goods and persons than to those who sit (at home). Unto all (in Faith) Hath Allah promised good: But those who strive and fight Hath He distinguished above those who sit (at home) by a special reward,-"  Quran (4:104) - "And be not weak hearted in pursuit of the enemy; if you suffer pain, then surely they (too) suffer pain as you suffer pain..."  Quran (5:33) - "The punishment of those who wage war against Allah and His messenger and strive to make mischief in the land is only this, that they should be murdered or crucified or their hands and their feet should be cut off on opposite sides or they should be imprisoned; this shall be as a disgrace for them in this world, and in the hereafter they shall have a grievous chastisement" Quran (8:12) - "I will cast terror into the hearts of those who disbelieve. Therefore strike off their heads and strike off every fingertip of them" Quran (9:5) - "So when the sacred months have passed away, then slay the idolaters wherever you find them, and take them captive and besiege them and lie in wait for them in every ambush, then if they repent and keep up prayer and pay the poor-rate, leave their way free to them."  ***It is certainly not self-defense if you can afford to wait for months before attacking Quran (9:29) - "Fight those who believe not in Allah nor the Last Day, nor hold that forbidden which hath been forbidden by Allah and His Messenger, nor acknowledge the religion of Truth, (even if they are) of the People of the Book, until they pay the Jizya with willing submission, and feel themselves subdued." ***They don't care if you are Christian or Jewish (People of the Book), you are to be subdued..... Quran (9:30) - "And the Jews say: Ezra is the son of Allah; and the Christians say: The Messiah is the son of Allah; these are the words of their mouths; they imitate the saying of those who disbelieved before; may Allah destroy them; how they are turned away!"  Quran (17:16) - "And when We wish to destroy a town, We send Our commandment to the people of it who lead easy lives, but they transgress therein; thus the word proves true against it, so We destroy it with utter destruction."  Quran (33:60-62) - "If the hypocrites, and those in whose hearts is a disease, and the alarmists in the city do not cease, We verily shall urge thee on against them, then they will be your neighbors in it but a little while. Accursed, they will be seized wherever found and slain with a (fierce) slaughter."  Quran (47:3-4) - "Those who reject Allah follow vanities, while those who believe follow the truth from their lord. Thus does Allah set forth form men their lessons by similitude. Therefore when you meet in battle those who disbelieve, then smite the necks until when you have overcome them, then make (them) prisoners, But if it had been Allah's Will, He could certainly have exacted retribution from them (Himself); but (He lets you fight) in order to test you, some with others. But those who are slain in the Way of Allah,- He will never let their deeds be lost."  Those who reject Allah are to be subdued in battle. The verse goes on to say the only reason Allah doesn't do the dirty work himself is in order to to test the faithfulness of Muslims. Those who kill pass the test.  Quran (48:29) - "Muhammad is the messenger of Allah. And those with him are hard (ruthless) against the disbelievers and merciful among themselves"  Bukhari (52:177) - Allah's Apostle said, "The Hour will not be established until you fight with the Jews, and the stone behind which a Jew will be hiding will say. "O Muslim! There is a Jew hiding behind me, so kill him." Bukhari (52:256) - The Prophet... was asked whether it was permissible to attack the pagan warriors at night with the probability of exposing their women and children to danger. The Prophet replied, "They (i.e. women and children) are from them (i.e. pagans)." ***So its OK to kill women and children, as long as they aren't Muslim.  Abu Dawud (14:2526) - The Prophet (peace_be_upon_him) said: Three things are the roots of faith: to refrain from (killing) a person who utters, "There is no god but Allah" and not to declare him unbeliever whatever sin he commits, and not to excommunicate him from Islam for his any action; and jihad will be performed continuously since the day Allah sent me as a prophet until the day the last member of my community will fight with the Dajjal (Antichrist) Muslim (1:33) - the Messenger of Allah said: I have been commanded to fight against people till they testify that there is no god but Allah, that Muhammad is the messenger of Allah  - Allah's Apostle said, "I have been ordered to fight the people till they say: 'None has the right to be worshipped but Allah'. And if they say so, pray like our prayers, face our Qibla and slaughter as we slaughter, then their blood and property will be sacred to us and we will not interfere with them except legally."  Bukhari (11:626) - [Muhammad said:] "I decided to order a man to lead the prayer and then take a flame to burn all those, who had not left their houses for the prayer, burning them alive inside their homes." Muslim (20:4696) - "the Messenger of Allah (may peace be upon him) said: 'One who died but did not fight in the way of Allah nor did he express any desire (or determination) for Jihad died the death of a hypocrite.'"  Muslim (19:4294) - "When the Messenger of Allah (may peace be upon him) appointed anyone as leader of an army or detachment he would especially exhort him... He would say: Fight in the name of Allah and in the way of Allah. Fight against those who disbelieve in Allah. Make a holy war... When you meet your enemies who are polytheists, invite them to three courses of action. If they respond to any one of these, you also accept it and withhold yourself from doing them any harm. Invite them to (accept) Islam; if they respond to you, accept it from them and desist from fighting against them... If they refuse to accept Islam, demand from them the Jizya. If they agree to pay, accept it from them and hold off your hands. If they refuse to pay the tax, seek Allah's help and fight them.
PARIS -- A woman who sent her 3-year-old son -- called Jihad -- to school in a T-shirt bearing the words