We have to interpret it the way it's written, not the way we would like it to be written.
Then why are you ignoring the plain meaning and purpose of "notwithstanding" in the clause? This comes off as pure projection on your part.
The Preamble, despite being a "thing in the Constitution", is not a law.
It states that We the People ordained and established it. It belongs to us, the people of the United States and our posterity (the children of We the People). Without it, people can interpret "the people" to mean any people (which is what 14A people are doing re: birthright citizenship).
It wasn't non-citizen residents who created the Constitution, it was We the People (the citizens) of the United States who created it. It was intended to "secure the Blessings of Liberty" to the people who established it, not any person who crossed over the border.
That is what is implied by the Preamble. That is the context that it adds.
-PJ