Consider this teaching of Islam: “Asserting one’s religion does not mean that you simply leave people to worship whatever they please without comment, like the Christians and the Jews do. It means that you must clearly and plainly disapprove of what they worship, and show enmity towards the disbelievers...”
“disapprove?” No... I believe they are instructed to “kill the infidels, wherever you find them.”
You are indeed 100% correct.
http://www.truthandgrace.com/muslimkillcommands.htm
pardon the image of the jihadist and his isls flag and the koran on the top of the page