The original idea of worldly peace in islam comes from uniting warring tribes under one banner, which from the very beginning was NOT a peaceful act. Islam spread by conquest and bloodshed. Muslim nations and groups have always fought each other. It is a hypotethical peace which is never achieved.
The prophet himself fought. Right after his death fighting began among his followers. The porphet's family and people who knew him (the sahabe) were killed and their city burned by the guy whose lineage took on the leadership of islam. It'd be more accurate to say that islam is a religion of war.
The prophet Muhammad and the Koran support the idea that women should be treated as property subservient to men, should cover themselves as to not tempt men, 50+ year old men can take and rape 9 year old wives, that infidels should be murdered, and spefically speak against peace with infidels.
Particularly Qur'an 47:4 - Do not hanker for peace with infidels; behead them when you catch them.