Not really, it works by profit sharing. The principal means of Islamic finance are based on trading, hence, banks can profit from the buying and selling of Shari'ah Compliant goods and services. Islamic financial institutions trade in Shari'ah-compliant investments with the money deposited by customers, sharing the risks and the profits between them. Therefore, technically it isn't riba, so you can't compare it to normal banks. People use that reasoning to justify borrowing from haram banks.
Also, fiqh isn't a 'game'. Different madhabs have different interpretations and its always been that way.