It depends on your definition of moral. Religions define moral as keeping to things that will neither hurt you nor the society at large. Some of these things are merely encouraged while not doing some are criminalized.

For example, the multiplier effect of fornication and adultery is enormous. Religion believes that it is better to prevent it by criminalizing it rather than treating the effects.

In other words, you cant just say that secular societies are the ones pushing religion towards the right moral part without defining what moral is.