I don't know about the expectations at Stanford. Having a PhD in a science is a factor because this person can qualify for the patent bar and can easily find a post-graduation versus a typical undergraduate with a liberal arts background and I high LSAT. In this job market, it is probably more of a factor. Stick to tier one schools with low debt to predicted associate salary (50% median of graduating class) and a patent focus. Ratio below 1 are acceptable.