With slightly more than 120 votes cast, here are the top ten faculties in international law (both public and private) (in parentheses, I note first the number of faculty listed [larger faculties typically have an advantage], and then the number of votes separating the school from the one ahead of it):

1.  New York University (14 faculty)

2.  Yale University (11 faculty, 33 votes behind NYU)

3.  Harvard University (12 faculty, 5 votes behind Yale)

4.  Columbia University (12 faculty, 14 votes behind Harvard)

5.  University of Michigan, Ann Arbor (16 faculty, 50 votes behind Columbia)

6.  Duke University (8 faculty, 1 vote behind Michigan)

7.  Georgetown University (13 faculty, 19 votes behind Duke)

8.  George Washington University (11 faculty, 19 votes behind Georgetown)

9.  University of California, Berkeley (5 faculty, 4 votes behind George Washington)

10. University of California, Los Angeles (9 faculty, 17 votes behind Berkeley)

Runners-up for the top ten:  University of Chicago (4 faculty, 3 votes behind UCLA); Northwestern University (8 faculty, 18 votes behind Chicago). 

Schools not included in the survey–like Iowa, Arizona State, Fordham, Minnesota and Temple–would probably have outperformed some of the faculties surveyed, though I don't expect any would have made the top ten.  (I'm less confident about Minnesota.)

I have to say it is impressive, to me at least, how sensible the results of these polls have so far been.