Almost impossible to say without knowing you. Really be introspective, what is that one thing that might make you different from every other law student.
To give you an example, I also am a white, middle-class, male. I went to a private, ritzy east coast boarding school, and then "shocked the world" and attended a large public university in the west on a full scholarship (rather than heading for the ivies, etc). During my time in college, I have taught a class in the evenings to a group of VERY wealthy teenagers, and tutored in an inner-city middle school that is over 95% hispanic. For my diversity statement, I am writing about the disparities I have seen in our education system. But I am careful not to go off on a "social justice crusade" tangent. Instead, I simply say that my experiences have given me an appreciation for the opportunities I have had - and that you can be certain that I will not take my time in law school for granted.
It might notbe earth-shattering or get me in anywhere on its own; but it is true, and it is me. I think the most important thing about the DS is to come across sounding genuine.