Thus the rational, in this democratic country, that because of religious liberty you cannot force me NOT to sacrifice a MY child (heaven forbid) because you cannot force your morality on me.
All countries force morality on its citizenry, and they're called "laws".

The mindset in a democracy that deals with this that's different than in an authoritarian society is that democracy is based on the importance of the individual, the latter of which may or may not be religiously derived. Throughout most of its history, Christianity did not endorse democracy and, instead, put more of its faith in authoritarian systems. And the movement towards democracy was more a by-product of the Enlightenment, which put more emphasis on the use of reason instead of faith, along with a demand to have a separation of church and state to end oppression.
This, of course, was not just characteristic of earlier Christianity since no major religious group demanded that countries develop democracy until relatively late in our collective history.