Being from Philly, I can tell you that Drexel is respected for undergrad, because it's largely focused towards engineering and the sciences. It's known for its co-op program, which is what I think brings in the most students. Well that, and the fact that they tend to be generous with scholarships (they have to be - it's expensive), they have a high acceptance rate, and their numbers are better than Temple. Many of my closest friends go there. That being said, the reputation does not carry over to the law school. It seems that even Drexel students wonder why they suddenly have a law school. It's very out of place and completely unnecessary. This is because I really don't think many people go to Drexel for undergrad to study liberal arts. Of the ~30 people I know there, NONE of them study anything remotely close to liberal arts. My only guess might be that Drexel might try to be building itself up for IP . . . that or they're just trying to enrich themselves and nothing more.
In short, Drexel is a young law school with no alumni network that is filling absolutely no void in Philly that I can see. Temple and Villanova have the market covered, as does Widener on the bottom end. Rutgers-Camden is somewhere in between, but I don't know enough about it to really give you an idea of its placement. Basically, try to avoid it if you have other options.
Do you want to work in Philly?