That's been the key these past 30 years. The Joneses are in control.
The only somewhat reprieve that we got IMO was when they hired Parcells. Parcells was building what he wanted, but the setback in finding out if he could win with Quincy allowed him to burn out before he could get there. Parcells refocused how the Joneses viewed the draft and got to bring in his FOBs to build out his team with around the draft picks and a few "high-dollar" pickups. That doesn't mean Jerry wasn't still heavily involved (see Terrell Owens signing), just that they gave Parcells a lot of leeway that they had not given any coach since Jimmy.
What Parcells built was why Wade Phillips had so much success his first year, but Phillips was a poor disciplinarian who offered nothing as far as building a team so it quickly all fell apart.