Yes, one of them was 'Separation of Church and State'. They carefully chose the word "Church" because they did not wast a 'Separation of God and State.' The wanted all to believe in God, but at the same time, they wanted no organized religion, or church, to have a hold of the government. And even though this meme didn't make it into the constitution, or in even in the Amendment people assume has this meme, the Judicial system has most recently been interpreting laws as if 'Separation of God and State' were in the constitution.
Don't be messing with TJ my friend. Jefferson was interested in the Unitarians, he liked their ideas. But keep that very much in mind, he was an idea man, and his head was exploding with ideas. One of the ideas he struggled with was the difference between the need for a system that protects people (he was the man who wrote the Bill of Rights for the Virginia state constitution, which was the model for the Bill of rights in the US constitution) and the idea of a pure democracy based on the Athenian model (basically white male property owners could govern and vote) which is what his idea of the Constitution was. (I'm not saying he wrote it, most of it was written by James Madison, one of his closest friends in Virginia)
However to describe TJ as a "man of God" or anything like that would be very mistaken. He was a scientist and was very skeptical of the religious practices of his day, which was why he was interested in the unitarians: they seemed to focus on morality and ethical behavior that was supported by religions in general. He could support that.