Both are great games, and I don't think you'd go wrong with either.
JD plays a bit slower with the widebody layout, while DW is a bit faster.
To me DW is very much like a "Pin*Bot on steroids", which is a very good thing. Great playfield toy in the Time Expander, and quite a bit of strategy in choosing doctors and the like.
JD is much more linear in the starting and finishing of modes, but there's a TON of stuff to shoot for. Also remember it has no pop bumpers.
Either way, good luck and enjoy!
Later,
EV