It's time for Islam to learn what Christianity learned hundreds of years ago.
That never happened. Christianity never learned anything, in fact they lost control as a result of not learning and adapting. They were thrown out of governments for good and lost the power to enforce their ways on the rest of us. Give Christianity back the power they had a in the dark ages and in a decade or two "peaceful" and "tolerant" Christians will be burning heathens on crosses in the name of their lord. If you have any doubts about that keep in mind how with the tiny bit of power left in hands of Vatican they systematically and on a global scale sexually abuse innocent children, silence the victims, protect the culprits and still consider themselves righteous. Then imagine what would happen if church had unlimited powers
The reason there are relatively few terrorist Christian militias or individual Christian terrorists is fear of harsh repercussions, specifically prosecution by the state. Bring back church to the state and their fears will vanish, then you'll see how hurting Christians' feelings, including you and I's innocent jokes about Jesus would result in "bodily harm".
tldr; It is Islamic states (or generally religion+state) that are the problem, not Islam per se. For more proof, I was in Iran during the original cartoon controversy. Not a single person knew or cared about the cartoons until state media started blasting them. Not a single grassroots protest happened, not a single gathering, until government sponsored protests (which most people have to attend) started.