One interesting thing I've discovered in this many year long investigation of the American Founding and religion is the orthodox clergy were likely to make accusations of "Deism" to folks whom they suspected didn't meet their standard of orthodoxy. Usually the charge was false in the sense that the accused was not a "strict Deist" (one who 1. believed in a remote clock-maker God; 2. categorically rejected the possibility of revelation; and 3. self consciously rejected the "Christian" label). However most often the accused, indeed, didn't meet strict "orthodox" standards. To which the orthodox clergy responded "well then, this theological system is no better than Deism" or perhaps as William Wilberforce noted, a "halfway house to infidelity."
I've noted Founding Father William Livingston as a less than well known figure who fit this description. And indeed, he was so accused. As Livingston himself wrote:
It is well known that some have represented me as an Atheist, others as a Deist, and a third sort as a Presbyterian. My creed will show that none have exactly hit it. For all which reasons, I shall cheerfully lay before you the articles of my faith. * * *
Livingston then humorously details his "creed" which is really an anti-creed, rejecting, among other things, the concept of creedalism itself, orthodoxy, ecclesiastical authority, and (of course) sectarianism. All in the name of the Bible and "Christianity," of course.