In response to OP:
1) Have you BEEN to Hyde Park? It's always amazed me how my alma mater continues to rank #7-8 in the THES world university rankings when it is located in one of the worst locations in the United States. When it comes to law, I think a lot of people weigh NYU, Columbia, and even Stanford closely with Chicago, but when they VISIT, Chicago gets put at the bottom because of its location. Unfortunate, but true.
2) You are definitely no economist

. I think it's funny when Adcoms and people like us write these "grand plans" for bringing a school up in the rankings. For some schools, significant movement is possible, but for like 99 percent of them, not really. That's because schools are already maximizing their gains given the formulas, chances to "game" the rankings, etc. Basically, if it is possible for a school to maximize their ranking today, this school has already considered their options to do so yesterday (all else equal). True, NYU ascended the rankings in the 1970s onward (from being regarded a top 50! to being regarded a top 6), and true, Northwestern has seen a steady climb, but according to this theory of "ranking maximizing", this is because these two schools were
operating at a level well below their potential. Over time, we see a logarithmic relationship between ranking (y-axis) and time (x-axis), where improvement in school admissions, facilities, etc. can only bring decreasingly marginal improvements to a school's ranking over time. What's more, EVERY school can be modeled on their OWN logarithmic improvement chart, such that any marginal improvement to a particular school will be offset by the improvements taking place at all of the others (hence why there is not much "over-taking" taking place at the top rankings anymore).
If none of that makes sense, then think of it this way: In order for Chicago to jump in the rankings, they'll have to bump (or tie) with NYU/Stanford. What makes you think that today Chicago is not already maximizing its ranking given its current options? Furthermore, what makes you think NYU/Stanford is currently over-ranked given the many variables that go into ranking a school? One of these two conditions would need to hold in order for your proposal to be correct. For many decades now, there has been remarkable stability among the very top schools. Due to "feedback loops", this stability should only continue to increase with time.
-HL