There’s no shame in iconoclasm, since God is the ultimate iconoclast.
In "A Grief Observed" by C. S. Lewis, I believe he uses that phrase.
Yes there is: fundamentally iconoclasm denies the reality of the Incarnation. Christ, while fully Divine, consubtantial and coeternal with the Father and the Spirit, is also fully human, of a body and rational soul subsisting, like us in all things excepting sin. He is thus, as we are, depictable.
You might reread Genesis -- God does not smash icons of Himself, He creates them: "...come let Us make Man in our image and likeness..." In the Greek LXX, the word Englished as image is iconos, icon.