Jefferson and Paine were in and out but probably could be called deists.
But that leaves a helluva lot of founders who feared the Lord. When in doubt, find out if they prayed for divine intervention, if so, they weren't deists.
I'm totally happy with them now. If I'd been there with them, I know I'd be totally happy with them then, too.
...since most of the original states indeed had state religions
Huh? Where do you come up with that piece of information?
I can trace my family lines back to the frontier preachers who traveled the eastern states and setup the first churches. They then migrated to the midwest and did the same. Then on to the west coast. In all my research and readings, I have yet to find any evidence of there being "state religions". Please, if you have such I'd be more than happy to have it. And don't give me that krap(tm) about Christianity being the "state religion".
Some of the colonies may have been started by a group from a similar religious teaching or belief, but a "state religion" would have been anathema to those who were founding this nation. They had literally left England and Europe because of the "state religions" and I doubt they were amenable to establishing more of the same. As I have written before, "Having escaped from the state-established religions of Europe, only 7% of the people in the 13 colonies belonged to a church when the Declaration of Independence was signed."