Yeah, there is no need for exaggeration. There are plenty of accurate statements about Sharia that trigger an emotional reaction among people of Western sensibilities.

For example there are countries (Egypt and Jordan) in the Middle-East where over 80% of the population supports murdering anyone raised Muslim who decides as an adult that the Koran is wrong. See http://www.pewforum.org/2013/04/30/the-worlds-muslims-religi... for a source on that.