^^^ Read your Koran. Islam only talks peace between Muslims, and temporary peace with people they they are trying to convert. The Koran talks violence against people who absolutely will not convert to Islam.
This means that if a Muslim says "peace be upon you" to someone who is not a Muslim, he is talking deceptively, just to convert him. But if he won't convert after a time, Islam says to kill him.
Terrorism has no religion because it is a religion of terrorism. Of course Muslim terrorists aren't terrorists towards each other. If they were, Islam would have destroyed itself long ago.
See
http://www.thereligionofpeace.com/quran/023-violence.htm.

this is what the Quran says regarding Christians and Jews:
“Surely those who believe, and those who are Jews, and the Christians, and the Sabians — whoever believes in God and the Last Day and does good, they shall have their reward from their Lord. And there will be no fear for them, nor shall they grieve.” (The Holy Quran Surah Al-Baqarah 2:62 )
“…and nearest among them in love to the believers will you find those who say, ‘We are Christians,’ because amongst these are men devoted to learning and men who have renounced the world, and they are not arrogant” (The Holy Quran Surah Al-Maidah 5:82)