Lock Screen shows too much private info

double-clicking the Home button from the Lock Screen and keeping your finger on Touch allows anyone to see your Wallet. Some cards show sensitive information such as your full name (American Airlines), last four digits of credit cards (visa, Amex) and portions of my email address (Apple). I don't want this information accessible to just anyone who picks up, or finds my phone. Is there a way to turn this 'feature' off?