They will figure it out. If Woody Johnson got spooked by Rodgers on McAfee and doesn't want to give up a potential R1 next year, I'm sure Gute's "doesn't have to be a first round pick" comment indicates there's room to negotiate still.
I don't blame GB for sticking with whatever was agreed upon previously, sounds like NYJ changed their offer after McAfee. Both sides are playing games, and ultimately a game of chicken. Someone will give in and a deal will be struck. There's been too much PR already to go back, it would look really bad and damage a few careers.

Rodgers won't be walking back into camp, and I really don't see him getting paid to stay home, retire, or be a backup. Saleh and Douglas have publicly spoken as saying they expect Rodgers to be a Jet. He's getting traded.