According to the note that was with the II when he found it, you can wait until all votes are cast, but before they are read to play the super idol.
That ought to screw some plans up down the road.
Which if you recall is the same as the regular II.
After the votes are cast, but before they are read.
If I remember correctly, one of the spoiler sites mentioned something about the super idol could be played after the votes are read.
Imagine thinking you finally had enough votes to get rid of that pesky thorn in your side, only to have him/her pull out the super idol and completely screw up the works.