I actually thought you where trying to refute terrorism, but yes, your logic was littered with Christian thinking. I don't think a Muslim would ever raise the point about Jesus. A Muslim will refer to Muhammad when possible, but if there isn't a saying by him to use I suspect they would be more likely to appeal to Moses then Jesus.
I suspect the long history of conflict between Muslims and Christians has something to do with this though. The Koran does have a fair amount of space talking about Jesus, but modern Muslims don't refer to it. Jesus is a non-issue to them, unless they want to play up the compatibility between their religion and others.
As for you final point, yes I think most Muslims would consider Muhammad the wisest of the prophets. But from a religious perspective, his most important trait was that he was the last, his word is the final word.
And in case, I would still argue that Islam is a more militant religion then Christianity in general.
Jay