Law

I posted this on the restructuring group forum but I might as well get everyone's opinion:

I noticed that most of the MDs at places like HLHZ and Close Brothers had backgrounds in law or accounting. Seeing as I graduated last Spring, an analyst stint at a restructuring shop is not a possibility but I would like to position myself for an associate position a few years down the line.

I went to college in the U.S. but I grew up in France so I would definitely like to shoot for firms in Europe (London). What do you think is the best background for someone trying to get in to a place like HLHZ? I'm planning on taking the LSATs in June but I'm also thinking of applying to Big 4 restructuring practices in London for the fall. Any suggestions?

First, I need to know about the usefulness of a JD outside of law. I realize that JD will not help in banking, but I'm wondering whether there are other applications for, at least, the knowledge obtained from acquiring a JD if not the credentials associated with the JD (i.e. Politics, Entrepreneurship, etc. - these are two paths that I've considered as an exit to banking - especially politics)

Right now I'm only considering Harvard and Stanford for law school - my GPA is a bit sub-par when compared to the average admit (i.e. lower than the 20th percentile of the school - still a bit over 3.5+), but my LSAT is over the 99.8th percentile (175+ for my particular sitting)... I know there's this app floating around - but don't know how to get it - in which you input your GPA and LSAT and it will tell you to which schools you will likely get accepted/waitlisted/rejected. Any idea regarding what my output would be?