This brief primer by Thomas Kidd in how deism was understood during the founding era is well worth reading.
Kidd cuts through the fog often generated by Christian nationalists (e.g., David Barton) and the new atheists regarding the religious beliefs of the founders. A brief sample:
So what was deism? In spite of all its diversity, deism was a strain of rationalist religion – many of its advocates, like Jefferson, would have called themselves Christians – which focused on the ethical, rational requirements of true faith and criticized the authority of ministers and institutional churches. Many of them, especially in England and America, believed that there was a true core of Christianity that one could recover through attention to Jesus’s teachings alone. One important aspect of deism that we often miss is that its adherents could hardly imagine a world not organized on theistic moral categories, such as the inherent goodness of charity. Most deists really did consider themselves serious theists, and many considered themselves devotees of Jesus and his teachings. Their deism was not just a convenient cloak for atheism.
I have read more by Jefferson than the other founders and believe Kidd to be on target.