The only thing that a U.S. Naval Ship has to "give way to"; is a:
When two ships are on a collision course, or danger close course, the smaller ship maneuvers, and the larger ship maintains course and speed. You don’t want ships, especially very large ships, with a turning radius that may be measured in kilometers, playing Alphonse and Gaston, with both ships altering course at the same time, each towards the other.
I learned that while reading about the U.S. Navy’s recent streak of at fault collisions with civilian vessels.