Move the Supreme Court back to their small old room in the basement of the Capitol, and give the SCOTUS building to DC Public Schools.
(the first step in curbing the court is changing the way the public views them, and also the way they view themselves.)
I wonder if the literature on the German constitutional court in Karlsruhe (400 miles from Berlin) supports your "it might be better to place the court away from other power centers" thesis. I don't think they that court works from a storefront at a strip mall, tho.
