Muslims are quick to say that violence done in the name of Islam doesn't represent their "peaceful" religion. If 270 million killings committed during 1400 years of apartheid, barbarism and genocide justified by the Quran, in the name of Allah, and way of the Prophet is your idea of peace then you need to get your head examined.
And if 50+ Muslim governments, dozens of terrorist groups like Al Qaeda, Daesh and the Taliban, honor killings committed by families, and the angry mobs of Muslim civil society can't get Islam right, then who can? Isn't it time Muslims admit Islam is the problem?
Cognitive dissonance is not a solution: Face the truth or the truth will face you. Take your pick.