I wouldn't look for Peterson to get TOO involved other than helping guide Ross on people to put in place in key positions, like Parcells was supposed to do.
Peterson himself is about 67 or 68 years old. What I think he might like to do is help Ross find someone like him, that could be Stephen Ross' trusted adviser and the head of all football operations. That someone could be Russ Ball who is Ted Thompson's right hand man. Ball was a strength and conditioning coach for 15 years with Missouri and Kansas City, after getting a masters in human performance. He then became Marty Schottenheimer's Administrative Assistant for two years, following him to Washington for his brief stay there. He's overseen a lot of football administrative and other operations from player development to caps and contracts, advance scouting, etc.
Point being anyway that when Peterson took the job in Kansas City and hired Marty Schottenheimer, Russ Ball was one of the guys they hired into the Chiefs organization and kept around for 10 years. So Carl Peterson knows Russ Ball pretty well. Russ Ball could then go about filling his posts with talented scouting directors and personnel directors, player development directors, head coach, and everything overseen by him.