I personally would not allow any such idol to be present within my house. How might the Lord feel to my placing the idol of a pagan god on my coffee table? Even if I do not worship it the principle remains. As for the icon of Christ, I am uncomfortable around Greek and Roman images. I would nor more want one than a crucifix. Christ is not in a piece of stone, nor is He on the cross, He is seated on His throne in Heaven.

"There is nothing that keeps wicked men at any one moment out of hell, but the mere pleasure of God." - Jonathan Edwards