Thomas Jefferson wrote the Declaration. The New England contingent inserted the phrases that refer to Creator, Providence, and Judge:
When in the course of human events…people dissolve political bonds…a decent respect (for) mankind requires they declare the causes… We hold these truths to be self-evident that all men are created equal, that they are endowed by their Creator with certain inalienable rights…life, liberty, and the pursuit of happiness.
Thus they declared their rights, then applied them to the American situation and concluded:
We…representatives…appealing to the Supreme Judge of the world for rectitude of our intentions, do…declare, that these United Colonies are… free and independent states… And…with a firm reliance on the protection of Divine Providence, we mutually pledge to each other our Lives, our Fortunes, and our sacred Honor.
Through their recognition of God as Creator, Providence, and Judge, the Americans abolished divine right in politics. On the other hand, the French extended divine right when they proclaimed that “the origin of all sovereignty resides essentially in the nation.”
Any dictator would agree to that.