Turning the Incarnation and Trinity from "Defense" into "Offense"

This post is meant to re-enforce (re-explain) and add-on to the arguments I began to develop in the post about using the Trinity as an argument against Judaism and Islam.  Some of the following material is a re-hashing of those points with additional rigor.  Some is meant to simplify that post.  The truly new material comes near the bottom of the post where I go into the Incarnation as an argument against other monotheistic faiths based on a double-bind present in God's approach to evil.

Frequently, in discussing the faith with members of other monotheistic religions (Judaism and Islam, in particular) the doctrines of the Trinity and Incarnation are treated as embarassments for the Christian.  These two teachings - the two most distinct teachings of Orthodox Christianity - are viewed as compromising both the singularity of God (God's one-ness) and God's transcendence (God's un-changing-ness).

This need not be the case, though.  Far from being something on which Christians should play "defense," we should critique other theists for denying them.  How?  Take a look after the jump.