If my opponent has The Power of Faith revealed and Dragonstone Convert in play, and I use my Orphan to remove the icons of the Dragonstone Convert, does she still have the MIL icon? I know that this type of lasting effects cancel each other leaving the character unchanged, but I feel compelled to understand that the Convert still has a MIL icon because the passive abbility of the plot is constantly checking and the Orphan's abbility only checks once, despite being "until the end of the phase".
What's the final result?