As explained to me by a softball teammate here in suburban Detroit who is a Chaldean, they are Baghdad Christians........They are NOT muslims and if you were to ever insult a Chaldean by calling him a muslim he would likely kick your butt. While some segments of our society tolerate some muslims, the Chaldeans have nothing but hatred for them.......and rightfully so.
Chaldeans will usually have Christian iconography in their stores, too. My pharmacist had a crucifix and a picture of the Madonna and Child behind his counter.