Alhamdulilah, this is the true Islam and we are proud of being Muslims. Islam is a religion of peace and we enforce peace in the world.
The concept of 'Jihad" is not terrorism. Finest of the Jihad is killing the Khawarij (terrorists). 'Khawarij' are those fighters who pretend to be Muslims and who kill on the name of Islam but they don't follow the teachings of Islam and they have nothing to do with the real spirit of Islam.
If someone wants to see the rules of engagement of war in Islam, then read the history of the conquer of Jerusalem during the reigns of Syedna Umar Farooq (r.a) and Sultan Salahuddin Ayoubi (r.a). Muslims always conquered the hearts with their character, those who "enforce" Islam with swords i.e. ISIS, Taliban, Boko Haram etc are not Muslims, they are "KHAWARIJ" according to Islam and fighting against Khawarij is itself a Jihad (best of Jihads).