They recognized that we have a Creator, and that our rights come from Him--not government.
Maybe not (also, see below):
- “Religions are all alike – founded upon fables and mythologies.” – Thomas Jefferson
- “The divinity of Jesus is made a convenient cover for absurdity.” – John Adams
- “In no instance have . . . the churches been guardians of the liberties of the people.” – James Madison
- “Lighthouses are more helpful than churches.” – Benjamin Franklin
- “I beg you be persuaded that no one would be more zealous than myself to establish effectual barriers against the horrors of spiritual tyranny, and every species of religious persecution.” – George Washington
That's the Founders' way of saying we're born with our rights. A lot of them weren't even all that religious (you've got deists and atheists in there).
Again I point to Constitution which specifically doesn't mention any gods or creators or anything, and that contains within the First Amendment wording about the separation of church and state.
I don't think it's a coincidence that a creator is mentioned in the Declaration but not the Constitution. Their purposes were different. The latter was to establish a government, which is secular, and so there not only is no need to mention a creator in the Constitution, it shouldn't be mentioned.
But the Declaration was a rally cry to revolt against a king to a group of mostly Christian colonists, whose Bible contained this:
"Let everyone be subject to the governing authorities, for there is no authority except that which God has established. The authorities that exist have been established by God. Consequently, whoever rebels against the authority is rebelling against what God has instituted, and those who do so will bring judgment on themselves."- Romans 13:1-2
How are you going to convince people that believe that to take up arms or support a revolution? It was clever and necessary to say that the creator approves of a just rebellion if necessary to restore life, liberty, and the pursuit of happiness:
"We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness."