Thank you for a thoughtful response. I am not saying in any way that we should be a doormat, though you have to weigh those words with what Jesus says when he commands us to turn the other cheek when stricken on the first. By all means, Islam is a false religion that promotes lies about God, Jesus Christ, salvation, etc. I am in no way saying that we should accept it as valid. I do believe, however, that biblically we must keep in mind that Muslims are simply lost and are seeking the same thing that we are all seeking. They are aware of their own sinfulness and are seeking for salvation from it. The problem is that they are looking in the wrong place. By shouting them down, using language and rhetoric that alienates them, or by refusing to have a two-way conversation with them, we are throwing away our opportunity to share the Gospel with them and give them an opportunity to find true healing and forgiveness of sins.
Respect the person, discard the worldview absolutely. Just keep in mind that when a person so closely attaches their identity with their worldview, you have to address the person and the worldview both in such a way that you don't alienate the person even as you argue against their worldview. Speaking the truth in love is what it is all about.