Some of the nicest people I know are Muslims. They went to Africa for 2 years building houses for orphans, not bombing.
The Muslim 'terrorists' are twisted extremists, who twist the words of the Koran, their religion's holy book, to feed their own anger towards the world. This is a tiny fraction of the religion, and it is not fair to judge all of them by the actions of a select few extremists.
Whether you may accept it or not, every religion has its group of extremists. Hitler was raised Catholic. Does this mean that all Catholic men are going to pillage and burn millions of people? No. A Christian shot up a Unitarian Universalist church. Does this mean that all Christians are secretly planning to kill everyone who doesn't believe what they do? No. It doesn't.
And the phrase "All Muslims are not terrorists, but all terrorists are Muslims," this is 50% untrue. All Muslims are not terrorists. Yes, there are certainly some Muslim extremists who should be punished for their hateful acts, but, again, not all Muslims are terrorists. Only the select few who ARE should be punished. And "All terrorists are Muslims?" Whatever uneducated person thought of this did not do their research. There are lots of religions that have their religious extremists that blow up or shoot up places.
Islam is the most prominent religion in the world, so it makes sense that Islam's extremists should be the most. Think.