The Air Force has stopped sending students to NAS Whiting Field and the Navy has stopped sending students to Vance. The last guys on the Navy side to go were at least a year ago, maybe more.
The instructor exchange apparently is still going on for the foreseeable future because it's 3-year PCS orders, not "go here for six-ish months and then move again" like it is for students. Or so one of the USAF instructors told me.
The "Air Force" squadron here at Whiting currently has an AF CO, but he's the last one. When he's done in the spring, it'll be Navy from then on out.
To make my answer to your question needlessly complicated, both services have similar (identical?) curricula for Primary. There's just some culture differences between how the Air Force and the Navy do it.