Posters use "restructure" to mean two very different things.
Some us the term to mean pushing compensation to future years, usually by moving salary and/or a roster bonus into a signing bonus. Players only rarely have an issue with this since they have no reduction in compensation. Sometimes the team throws in an extra $1M because they need to the cap money so badly. Yes, I think that Wilfork would move most of his roster bonus and salary into a new signing bonus.
Others use "restructure" to mean that the player should take a pay cut. This is entirely different. Some folks are suggesting this for Wilfork, Mayo, Amendola, Arrington and Browner.
The team and Wilfork spent a lot of time re-negotiating before the 2014 season. Wilfork has done his job. I don't see him taking a pay cut. I think he'd rather pay for the same money for someone else than take a voluntary pay cut before free agency starts.