Some teachings that extreme Muslims 
could use in committing violence 

[1] "The objective of Islamic Jihad is to put an end to the dominance of the un-Islamic systems of government and replace them with Islamic rule, Islam intends to bring about this revolution not in one country or in a few countries but in the entire world. Although initially it is the duty of every member of the Muslim party to work for revolution wherever he lives the final purpose is nothing but a world revolution. Any revolutionary ideology which upholds the good of all mankind, and is not of a mere national unit, cannot limit its horizons to those of any single country or nation."
(Book: "Come Let Us Change This World," pp. 106-107. Author: Sayyid Abul A'la Mawdudi. Founder of Jamaat-e-Islami (The Islamic Party), a political party in Pakistan.)

[2] "If you accept the whole of Islam in your life...a time will come when Communism will fear for its survival in Moscow, Capitalistic democracy will tremble for its safety in Washington and New York."
(Book: "Come Let Us Change This World," p.83. Author: Sayyid Abul A'la Mawdudi. Founder of Jamaat-e-Islami (The Islamic Party), a political party in Pakistan.)

[3] "It is learnt from this Hadith that physical jihad will continue right till the day of resurrection and will be waged as such in some part or the other of the world". We do not deny the benefit of waging an academic and intellectual war. However, an intellectual war alone cannot be fought everywhere. There are special places and occasions for it. In short, despite waging a jihad with the tongue, pen, rationale and intellect, the Muslim community cannot be absolved of the duty of waging physical jihad."
(Pamphlet: "40 Hadith on Jihad," pp. 21 -22. Author: Maulana Abdus Samad Siyal. Published in Pakistan.)

[4] "The only reward of those who make war upon Allah and His messenger and strive after corruption in the land, will be that they will be killed."
(Booklet: "Duties of the Learned to Ignorant Muslims," p. 5. Author: Abdul Qadir Oudah (Muslim Brotherhood/Egypt). Published in Pakistan.)

[5] "The person who raises arms in order to curb tyranny and oppression and to eradicate evil is the blessed soul who fights in the way of Allah."
(Pamphlet: Jihad in Islam, p.15, by Abdul Hameed Siddiqi. (Jemmah Islamiyah) Published in Pakistan.)

[6] "Islam wishes to destroy all States and Governments anywhere on the face of the earth which are opposed to the ideology and programme of Islam regardless of the country or the Nation which rules it. Islam requires the earth-not just a portion, but the whole planet. Towards this end, Islam wishes to press into service all forces which can bring about a revolution and a composite term for the use of all these forces is 'Jihad.'
(Pamphlet: "Jihad in Islam," pp.9 -10. Syed Abul A'al Maududi [founder of JI terrorist organization].)