I'd have to agree with most other people's comments. You're going to have trouble getting used to both P1 and P2 controls. Let's say you get used to the stick left hand, buttons right layout of P1 while playing alone, and so does a friend. If you want to play 2 player, neither one of you is going to want to switch hands for the P2 layout.
Also, there's no place to rest your palm as your fingers are hitting buttons.
I'd either go with two sticks, buttons same for each, or 1 stick and a trackball.