Quoting Pitt on the Trinity:
All those Controversies which have been so hotly agitated at the Expence of the Peace, and Blood of the Christian World, about the Person of Jesus Christ, concerning the Trinity, and a Thousand other Things, make us neither wiser nor better. We may embrace one Scheme, or t’other, or neither, as Evidence appears to us, and be equally good Christians, and faithful Subjects of the Kingdom of God.54This mirrors Franklin's utter indifference towards that doctrine in his end of life letter to Ezra Stiles.
Later in the 19th Century, when such "heresy" could be preached openly in America with less controversy, we see the capital U Unitarians echoing such sentiments (while giving the spiritual credit to Unitarianism).
As James Freeman Clarke put it in 1838:
We are almost born Calvinists, Catholics, Swedenborgians, Universalists; for, as a man's nature is, so are his views of God and man, and thence, of religion; his nature develops, is modified, is changed, born again, and his elements of faith change likewise. If you would fix his faith, then, affect his spirit. And if you believe Unitarianism to be the truth, rest assured that the Catholic, and the Baptist, and the Presbyterian, and the Deist, while they are preaching in a Christian spirit, and aiding to spread that spirit, — are preaching Unitarianism. ...