I believe that the link posted to the article written by President Hinckley gave the best, most courteous and comprehensive answer. To give another one, perhaps it would be best to paraphrase Bill HIcks when he said “A lot of Christians wear corsses around their necks. You think when Jesus comes back he ever wants to see a…cross? It’s like going up to Jackie Onassiss wearing a rifle pendant.”
Now Bill Hicks is not the only person to notice this, and he was certainly more strident in his approach than most, but the basic idea? Well, there it is, part of the reason we do not use, or wear, crosses.
However, symbols mean what the people who use them think they mean. The swastika is a classic case in point; until Hitler got hold of it, it was a symbol of life, peace and abundance. I have a quilt with that symbol all over it–that I do not dare use. My great grandmother would be aghast at the meaning it has aquired since her time!
To most Christians, the cross means more than simply the instrument of His death–to us that’s pretty much all it does mean. Should we be condemned for that, and forced to wear a symbol that means something horrendous–His torture and crucifixion/death–in order to “prove” that we are Christians?
(shrug) We aren’t asking you to cease from wearing one in order to prove your Christianity. Nor would I drop it and step on it if one of you gave me one in friendship; I would respect it for the meaning you give it.
I’m a little fuzzy about the difference in meaning between the cross and the crucifix, other than that the one is empty and the other depicts Christ suffering upon it; so I’m not going to do any comparing here between ideas. I’m simply commenting on the LDS position on the matter.
Diana