Correct. One reason why I pointed out the division within the Christian churches concerning the national church. Many of the founding fathers that turned to a church were members of the Anglican Church. While we think the Catholic Church strictly to the Spanish colonies, they were already here in the British colonies, well established in the New York area from the early Dutch settlers. Many native Americans had also become part the Catholic faith, although some still kept the practices and beliefs of the great spirit.
Being a Jew in New England was no picnic, but better than a Jew in Europe during the Spanish Inquisition. By 1790, with the Constitution firmly in place, including the first amendment, the number of Jews was about 1% of the US population. Unfortunately, they were bound by the Christian based laws, which included the Blue laws that prevented businesses from being open on a Sunday.
There is no record of even estimate of the number of Muslims in the US at the time the Constitution was ratified, but many laws, including those of who were allowed to be slaves, included members of that faith. While many converted to Christianity over the years, by choice or whip, the Muslim population was here. Records show several Muslims having fought on the colonist side of the Revolutionary war. The first nation to even recognize the US as a sovern nation was the Sultanate of Morocco, eben then a Muslim dominated country.
While the founding fathers were a majority of Christian men, the thought of fighting over which Christian belief was true was something they chose to bypass. Because of this, the first amendment has been interpreted to include any religion, or lack thereof, as a protected right. Community standards, OTOH, vary. An atheist friend was basically shunned in the small, Tennessee town he liived in because he wasn't a member of a local church. This was about 10 years ago.
Myself? I was raised Christian, but left the church decades ago. I believe in a higher power, but I do not believe that the Holy Bible, Catholic or Protestant version, is the absolute word of God.
And we can all live by the faith we believe because our founding fathers were unable to determine which Christian religion was the "one true faith".