Find my anywhere in the federalist papers (or the anti-federalist papers) that says anything about immigration.
What you’re talking about is a 20th century creation. We never tried to be an “immigrant nation”—we were a big open country with no welfare state, and it was favorable for us to allow extensive immigration to populate the continent and displace the native americans.
In the 20th century we accidentally found ourselves with British Americans being a minority then created this idea of an “immigrant nation” to assimilate all the Germans, Italians, etc. But it’s a retcon.
America has changed significantly since that time for the better much better.
The fourteenth amendment in particular changed the US in fundamental ways (one of which was birthright citizenship).
> we were a big open country with no welfare state
One of the countless ways we are better country today then in the past. No social security, no Medicare
> But it’s a retcon.
It's an evolution and a vast improvement
It doesn't matter what the federalist papers say, as no one is going to argue that your deep-nativist view aren't also espoused by Publius.
You're being informed as to actually, as messy as it might be, what the US is and was. This isn't going to be neatly described in any papers or appeal to core enduring features, however much that might suit your ends