Though it would make things easier, the point of the Fake Gods is to be DIFFICULT. If we could choose, it'd be simple to just face Miracle over and over again and win almost every time. A deck like this could beat it easily:
Mark of Light
6x Upgraded Sundial
10x Aether Tower
6x Twin Universe
6x Phase Shield
2x Elite Phase Dragon
If we could pick, everyone would have upgraded decks, the game would be too easy, and money would be free-flowing to anyone.