Is Islam inherently violent toward "infidels"?

A friend of mine recently sent me an editorial attributed to Rick Mathes, a Christian minister who works with prison populations. In the editorial, Rick reports a conversation with a Muslim cleric in which he basically causes the Muslim cleric to admit that Islam, as a religion, has an INHERENT duty to wage violent war with "infidels" who are not Muslim. As a religion teacher and Episcopal priest, my friend was wondering what my take on this was. So I wrote the following:
This is a bunch of stuff to make us think hard about our incredible love affair with the God of the universe, our astounding infidelities against him, and his incredible grace to heal and restore us through Christ. Everything on this site is copyright © 1996-2015 by Nathan L. Bostian so if you use it, cite me... otherwise you break the 8th commandment, and make God unhappy. You can contact the author by posting a comment.