I think with any Islamic terrorists if you invade someones country you'll only create another five terrorists for every one you kill, not to mention all the innocent civilians you'll accidentally murder in the process.
No one, either Muslim or Christian, or belonging to any other religion, likes their country being invaded by a foreign force. Once the invasion happens, the various warring factions will set aside their personal vendetta, and will unite to fight against the common enemy. The same is happening in Iraq. The die-hard secular Bathists have joined forces with the Islamist ISIS, to fight against the American puppet government.