That's not what I believe. I believe that the classically liberal free society, where political and economic freedoms, and corresponding responsibilities, make citizens stakeholders in both good order, and in the maintenance of their mutually recognized, and therefore commonly held, liberties, is also the society that produces the best realization of morality.
But I certainly don't believe that this kind of good society is enevitable because of inherent human goodness. Far from it. The liberal society was in fact a hard won historical acheivement which took hundreds of years. It is entirely possible that the whole globe could have ended up as wracked with brutality and despotism as most of Africa, the Middle East, and parts of Asia are today.