system
A chat on subreddit /r/PoliticalCompassMemes
human
The establishment clause and separation of church and state are some of the most misunderstood concepts in American history.

All the first amendment says is that the government will not create a state religion nor will it infringe upon the free expression thereof.  

The term “separation of Church and State” comes from a letter Thomas Jefferson wrote to the Danbury Baptist Association.  

&gt; Believing with you that religion is a matter which lies solely between Man &amp; his God, that he owes account to none other for his faith or his worship, that the legitimate powers of government reach actions only, &amp; not opinions, I contemplate with sovereign reverence that act of the whole American people which declared that their legislature should "make no law respecting an establishment of religion, or prohibiting the free exercise thereof," thus building a wall of separation between Church &amp; State. Adhering to this expression of the supreme will of the nation in behalf of the rights of conscience, I shall see with sincere satisfaction the progress of those sentiments which tend to restore to man all his natural rights, convinced he has no natural right in opposition to his social duties."

Jefferson isn’t saying that religion has nothing to do with politics, or that the US is a secular nation.  He’s saying a metaphorical wall should be built to protect religion from government overreach.  It can be conversely argued that the wall can protect the government from religious zealotry.  

None of this says that the US wasn’t founded on Judeo-Christian values.
gpt
This is the best answer. 

USA was never a theocracy, but it was not established as a secular nation. 

Many of the founding fathers were christians, or deists, the Declaration of Independence refers to the creator, the constitution references God, the mayflower compact which as signed by the Pilgrims refers to the Glory of God and the advancement of the Christian Faith, and the majority of the population was Christian as well.