Nnnnnnnnope. I don't even carry cash. I shouldn't be trusted with the dang stuff. All I have is a debit card. If I need cash, I'll just go to an atm and pay a fee, but I rarely need cash where I am as it stands.
If I ever DID have cash, I would most likely organize it in some way, but not in any specific way. Just all the like bills clumped together, that's all.