Religious morality is not the same as natural law. The very act of legislation presupposes embrace of the idea of social order, which needn't have any specifically religious foundation to be grounded in natural law. Legislation does not exist in a state of howling anarchy; it can honor principles of subsidiarity and personal dignity without being specifically "religious". Thus, the rights to life, property, family, conscience, and culture all exist outside religion.
Religious morality -- the particulars of ecclesial moral doctrine -- ought not be legislated precisely because to do so violates natural law. Christians will add to this, that religious conformity enjoined by law is not faith but terrorism, and contradicts all we know of a God who is and reveals Himself through love, whose salvation is freedom because it's driven by love not law and because its ultimate promise -- triumph over death -- is the ultimate freedom.