Omar Abdel-Rahman (The Blind Sheikh), Dzhokhar and Tamerlan Tsarnaev (Boston Marathon bombers), Nidal Malik Hasan (Fort Hood shooter), Abdulhakim Mujahid Muhammad (Little Rock recruiting office shooter), Faisal Shahzad (Times Square attempted bomber), Hesham Mohamed Hadayet (LAX shooter), and Mohammed Reza Taheri-azar (UNC Chapel Hill SUV attacker) would all disagree. I'm sure there are more.
The DC sniper and the man who recently murdered the two policemen in Brooklyn were also Muslims.