Mayo, Stanford, University of Michigan and University of Minnesota all turn out more research than Harvard does, and those are just the tip of the iceberg. Harvard is a big name, but they aren't making the big breakthroughs anymore.

Also the ivy league medical schools don't provide as much in the way of community medical services as the others do. To my knowledge, Harvard isn't out there running critical access hospitals in rural communities at a loss like Mayo and University of Minnesota are.

(And I'm absolutely positive that there are a bunch of other state universities and medical programs that do just as much as Mayo and University of Minnesota in terms of community medical services, but I'm just not as familiar with them )