I had a look through the game rules and I can't spot anything prescribing what way up cards need to be in your deck. (Did I just miss it?)
This leads into two questions:
- Can cards in general be placed upside down in opaque sleeves?
- If no, Can Split cards?
The reason I'm asking is because fanning split cards as a left handed player causes them to display no card names (and also just the "life" or "shock" art) making them very hard to identify. (This also potentially choreographs to an opponent what is in your hand because you have to rearrange the hand to see).