Most countries keep immigrants out fairly well, that’s not the problem.
The problem is, as you say, that you just can’t found a country.
As for a “rational” university, it is probably not big enough to internalize the benefits of rationality.
Really the question is “what is the most feasible group that would internalize the benefits of rationality and thereby prove empirically that rationality works?”
Most countries keep immigrants out fairly well, that’s not the problem.
The problem is, as you say, that you just can’t found a country.
As for a “rational” university, it is probably not big enough to internalize the benefits of rationality.
Really the question is “what is the most feasible group that would internalize the benefits of rationality and thereby prove empirically that rationality works?”