Ironically one of the strongest influences the bible had on the constitution was the founders putting the "no religious tests are allowed as a qualification to hold any office" and "congress isn't allowed to make laws respecting an establishment of religion"
So an influence, but less of a "these things are intertwined" sort of an influence and more of a "we don't ever want these two things to be mixed up with each other, we just fought a war so we can think whatever we want" sort of an influence.
It's partly dependent on how you define "influence" too. Like, the no religious tests is to a certain extent a repudiation of the bloodthirty protestant/catholic fights in British history, which is both political and religious, and there's some false similarities that are to do with common roots
I.e. structures that are really adopted from British and European models, which trace roots further back really to the Roman executive system, which have some parallels in post-biblical Christianity because, well, uh, Catholics. But it's not a biblically rooted constitution. If anything the opposite
Like, the bill of rights and ten commandments' only real similarity is that they are texts, there's 10 of them, and the southern evangelical community have elevated both in ways that have slowly decoupled them from what they /did/ and interpreting them in increasingly atextual and ahistorical ways
I think it doesn't help that the founding fathers themselves have been turned into some monolithic all-knowing all-seeing deity by the far-right. I'm sure some of them turned to the bible for inspiration, but some rejected it outright, and there is no correlation in the final text.
Thomas Jefferson cut the Gospels apart. Literally! Franklin was explicit about his deism and Washington seems at least Deist-adjacent.
www.smithsonianmag.com/smithsonian-...
People really don’t understand how insane it was when each state had a state sponsored religion. Massachusetts once funded the Congregational Church, and only the Congregationalists, via tax dollars. We had Sunday business prohibitions until the 1990s.
Texas still only allows car dealerships to be open on day on weekends. Liquor stores are still closed on Sunday, there is a maximum abv for Sunday sales, and prior to COVID, you couldn't buy beer or wine before noon on Sunday.
I'm just old enough to remember when practically nothing was open on Sunday. My home town had a Jewish owned business. They were allowed to be open on Sunday and closed on Saturday.
We lived near the former Jewish section of town which had the only grocery store open in the city on Sundays.
The movie theaters were allowed to be open for some reason. Probably too new to fall under old laws.
Back in the late 00's, I went to Cincinnati on a Sunday. It was a ghost town. NO ONE was outside, no businesses were open, save for the little place I went to.
It was eerie.