I coined "transnational progressivism" too
First, they say there's no such thing as a "transnational progressivism" movement. And, more importantly, they point out that the author mistakenly believes that Princeton University has a law school.
As I pointed out in the comments to the post linked above, some professors and others "[envisage] an international political monolith with which to replace America" as the article states. For an example, see the piece "Could U.N. use military force on U.S.?":
Could the U.N. use military force to prevent the United States and Britain from waging war on Iraq without a Security Council mandate?
Some anti-war groups are urging the world body to invoke a little-known convention that allows the General Assembly to step in when the Security Council is at an impasse in the face of a "threat to the peace, breach of the peace or act of aggression."
The willingness by the U.S. and Britain to go to war with Iraq without Security Council authorization is the kind of threat the U.N. had in mind when it passed Resolution 377 in 1950, said Michael Ratner, president of the Center for Constitutional Rights (link), a human-rights group in New York City.
In a position paper, Ratner wrote that by invoking the resolution, called "Uniting for Peace," the "General Assembly can meet within 24 hours to consider such a matter, and can recommend collective measures to U.N. members including the use of armed forces to 'maintain or restore international peace and security.'"...
As far as the statement "Within such a regime the key political unit would not be the individual citizen who voluntarily associates with fellow citizens but the racial, ethnic, or gender group into which one is born," that should ring some bells. Multiculturalism, "corporate pluralism," etc.