If you take the Constitution and the DoI together as one idea leading to the other; first declare your independence and once you have independence you then set forth the rules that govern your new found independence, the intent is clear.
So take the text of the DoI and the Preamble to the Constitution and apply the intent. It is quite obvious that the "Framers" had no intention to include entities other than "People" and the 1st amendment acknowledges this by simply listing the 2 other things that are not people, and their protection. Religion and the free exercise thereof and freedom of the press. There is no, 'and any thing
we didn't cover'.