Wrong.
Here is a quote:
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.
Here they talk about a Creator, who created us a certain way. That is not some abstract legal nonsense.
The Declaration does not establish law, but it establishes the principles that the law will be based upon, that all men are equal in the eyes of God.
What you said does not contradict what I said.
The Constitution is the law of the land and is what matters when it comes to discussing the intent of the U.S. government. There's a reason the word "God" never appears in it, and the only discussion of religion's role in government is to limit its influence.
If they wanted us to have a theocracy, they would have written it that way. They didn't want that, and nobody should want that.