Despite the fact you're a stud, you need to be assertive as if you're the one in charge. Not sure about FO-land, as I'll never work with them, but act as if you signed for the aircraft and you're running the show (the show that doesn't involve physically handling the controls :icon_tong) and I think when everyone is on page with what YOU are doing, you will be in much better shape and much more ahead of the aircraft.
'2'
While T-6 briefs usually involved the instructor discussing stuff with you and your responsibility was to show up with the designated knowledges/procedures and mission products, T-1 and T-39 land is designed to develop your mission commander skills. From the moment you step into the brief, have the attitude that you are taking the INFO/pilot flying. The pilots are contractors for a good reason, the pilot needs to transition from an 'adversary' grading you in the T-6 to a part of your crew like it will be in later aircraft (don't know about the navy side but F-15E and B-1 WSOs both fly with student pilots occasionally in the RAG). If you get confused about when to use VHF/UHF, make it a CRM item in the brief - asking the pilot what his preference is beforehand is the best way to find out.
If you brief the pilot like you know what you are talking about, and get the checklists down so he doesn't have to correct you, then he will be happier. Then it becomes you+pilot vs instructor instead of you vs instructor + pilot. Another reason to be more assertive is basic CRM - the pilots have flown any particular event hundreds of times. Therefore they tend to tune out the TRACOM chatter of turnpoint procedures, etc between the instructor and student. When you actually want the pilot to do something, then, you will need to make that very clear (left, right, climb, descend, set).
The brief doesn't end when you walk out, either - feed the approach to the pilot in bite size chunks. When you are on the HI-TACAN and going down to 1300', tell him the next altitude restriction, etc. that way he can help you out since he is ahead of the aircraft and knows you are as well.