Veterans for Mustangs Act This bill directs the Department of the Interior to prioritize use of nonsurgical, medically safe on-range fertility controls to manage populations of wild, free-roaming horses and burros. In implementing such fertility controls, the Bureau of Land Management shall prioritize the recruitment of military veterans to train and become certified in the application of fertility controls, including the certified PZP applicator certification offered by the Science and Conservation Center's Certification Program. Interior shall provide appropriate compensation to military veterans participating in such a certification program. The bill authorizes Interior to contract with military veterans who have completed the training program to carry out fertility control activities.