I want to clarify a few things - 1) Sunni Muslims are the conformists, who worship God in the ways the prophet laid down. 2) Shia Muslims are non-conformists, who do not follow the rule of the prophet as strictly.In both branches there are fundamentalists, who wish to adhere to old-fashioned values.
While there are many paths to enlightenment, there is no true path that embraces violence against fellow humans. The message of Christ was non-violence - turn the other cheek.
Historically, the message of Islam was spread violently across Europe, but was eventually repelled. The Spanish expelled their Muslim rulers in 1491, and the Ottoman Empire effectively fell in 1845, releasing the Balkan states from subjugation, but leaving the converts to Islam to the mercy of their new rulers - and the ethnic cleansing of recent years.
The problem is that most Muslims are from primitive cultures, which are hundreds of years behind the western world in terms of their belief systems, but are in co-existence. They can point out the better points of their societies which are lost in the modern world, and say that they have a nicer way of existence. The truth is that neither is right - we must learn from the past, but move to the future- which must not include death and misery.