I am interested in pursuing a 1 year MBA and then plan on getting a JD in the US. I want the MBA so I can eventually work as a Chief Operating Officer for startups or have the freedom to go into Consulting (in case I end up not liking Big Law). I am keen on getting a JD because I am passionate about politics/lobbying.

Would Cambridge Judge or Oxford Said have a better name amongst academic/legal circles in the US? Which school places better at McKinsey and Bain?
Which school is better for consulting overall?