Not to be argumentative, but the so-called “Hebrew Bible” is the Old Testament for Christians, and just a part of the Bible which was so influential in early America.
Calvinist theology—the most influential form of Christianity in early America— closely integrates Old Testament and New Testament teachings—which are interdependent on one another. The Old Testament though, is always seen through the lens of the New Testament—which is why we’ve never had laws requiring the death penalty for adultery, or blasphemy—among other sins—as the Old Testament civil law (for ancient Israel) requires.
To separate Old Testament teachings though, from those of the New Testament, does not accurately represent the Christian synthesis of the two, found in early America.
Completely correct.
Quite true. As much as the founders may have seen parallels between Israel and America, they often spoke of America as the “New Jerusalem”, which is a very New Testament reference, looking to the future prophetically, rather than looking to the old Jerusalem of the past.