In the OT violence was commanded for certain ends in certain places against certain adversaries. There is nowhere any call for violence against all humanity that does not agree with the believers. To condemn Jews and Christians as necessarily violent against nonbelievers because their book says to sweep away the Canaanitesfor a particular reason at a particular time is piling nonsequitur upon irrelevance.
There are passages in the Koran that explicitly call vor the killing and/of subjugation and conversion by force of all nonbelievers.
There are other passages of more peaceful tenor but if one accepts the Koran as one's religious authority then one must accept the murderous parts as binding. They do not conflict with the peace passages because the Koran also specifies duplicity and treachery as good and necessary when dealing with nonbelievers.
As for the eye-for-an-eye of the OT, that was amelioration of theretofore normal tribal justice which was your-life-and-all-your-clan's-for-an-insult(which the arabs have not yet transcended) just as the stayed sacrifice of Isaac was the announcement of the ban on human sacrifice. The OT is instruction for progressively more civilized behaviour.