Can a hospital choose to only hire "thin" staff?

A hospital in Texas, Citizens Medical Center has made a dramatic decision to only hire staff (doctors, ancillary staff, nurses etc.) who are classified under a certain body mass index (BMI).The Body Mass Index scale uses a formula to determine a proxy for a person's body fat range based on weight to height ratio. A value over 35 is considered Obese. A value under 25 is considered normal.

Lets get real here. Is is ethical to "cherry pick" your staff based on physical attributes if you otherwise have the appropriate qualifications? If we start selecting for weight, then shouldn't we be choosing based on sex, how much alcohol you drink or what kind of car you drive and other such risk factors?

Here's an Opinion: http://www.medscape.com/viewarticle/763068

Weigh In! (No Pun Intended). I'd love to hear what you think about this.