With one exception, your ranking identifies pretty much the same set of top schools that several other rankings identify. It includes one school (NYUAB) that those other rankings miss. It omits several schools (like the top publics) that those rankings include. Do these differences make your ranking a better indicator of what schools are desirable? I don’t think so.
UC Berkeley gets nearly 70K applicants per year. How many does NYUAD get? Less than 1000?
I think the reason NYUAD appears to be “desirable” by your measurements must be because it attracts a very self-selecting applicant pool. Very few American students would even consider attending college in Abu Dhabi. It isn’t desirable to them at all. In contrast, a very high percentage of top students in California (and perhaps in neighboring states) would seriously consider UC Berkeley.
I think Parchment has a more plausible methodology for identifying “desirable” schools, based on student choices.
http://www.parchment.com/c/college/college-rankings.php?page=1&perPage=25