It is the duty of all Muslims to "Jihad" a term which means more than just "terrorism" in the cause of Allah. Jihad can be through migration, education, the establishment of the Ummah (muslim community) in foreign lands with the end of striving for an Islamic caliphate governed by Sharia law and this is well underway in western counties where you will see currently that both Sunni and Shia Muslims unite to drive out Jews from Islam's 3rd most holy place Jerusalem the city of peace (which of course has never really had peace).
Islam by its very nature does not submit to any country or government that currently has a Muslim enclave. So are all Muslims terrorists? no, but Islam is.
The Covenant
of the
Islamic Resistance Movement
18 August 1988
In The Name Of The Most Merciful Allah
"Ye are the best nation that hath been raised up unto mankind: ye command that which is just, and ye forbid that which is unjust, and ye believe in Allah. And if they who have received the scriptures had believed, it had surely been the better for them: there are believers among them, but the greater part of them are transgressors. They shall not hurt you, unless with a slight hurt; and if they fight against you, they shall turn their backs to you, and they shall not be helped. They are smitten with vileness wheresoever they are found; unless they obtain security by entering into a treaty with Allah, and a treaty with men; and they draw on themselves indignation from Allah, and they are afflicted with poverty. This they suffer, because they disbelieved the signs of Allah, and slew the prophets unjustly; this, because they were rebellious, and transgressed." (Al-Imran - verses 109-111).
Israel will exist and will continue to exist until Islam will obliterate it, just as it obliterated others before it" (The Martyr, Imam Hassan al-Banna, of blessed memory).
"The Islamic world is on fire. Each of us should pour some water, no matter how little, to extinguish whatever one can without waiting for the others." (Sheikh Amjad al-Zahawi, of blessed memory).
The Hamas Covenant - Translation | MEMRI
If want to spend the time reading this stuff.