Islam does want peace. A world under the control of its followers.
Yes — in some technical sense.
That’s why Christ incarnate, when addressing the Jewish expectation of a Messiah who would bring political peace by leading the Jewish people to a worldly victory, that He “did not come to bring peace, but a sword” (and went on to describe from Old Testament scripture how conflicts would rift families).
If you want political peace, you don’t have to bother with issues of righteousness — just issues of brute force. If you want a heart peace, then you need the ministration of Christ, but since it is voluntary some will refuse it, and that will lead to conflicts in the world.