Sadler I was just watching your Alice In Wonderland clip again, and something that might make for a more convincing illusion would be to draw the cards in farthest-to-nearest order (using a Z-Translate based on the inverse of the Iteration #) so that the larger (nearest) cards are properly in front of the smaller (farther) ones.
In other words if you have 100 iterations, then you would do a Z-Translate linked to Iteration # with an Expression of 99-x, such that iter# 0 would be 99 units away, and iter# 99 would be 0 units away.
This is of course based on my personal understanding that in the reality of your video clip, the cards are physically the same size, which may or may not be true in Wonderland
.