One thing that I do remember reading about Ireland (sorry, can't provide the link) was his strong desire to stay out of the spotlight. His preference is to be one of those "behind-the-scenes" kinda guys. Becoming the GM for the Dolphins (or any GM position in the NFL for that matter) and your anonymity pretty much goes right out the window, so there's at least that working in the Cowboys' favor if they're hoping to retain him. Money certainly won't be an issue with him as it has been pointed out here several times over that JJ's pockets run deep so he'll pony up the big bucks if Ireland tries to use this as leverage to get a nice fat raise.
Considering what Ireland has done for this organization since he was promoted and there's no question as to why Parcells wants him down in Miami. Seriously, the man flat-out produces and deserves the same amount of credit that JJ and Parcells shared in for making the Cowboys the team that they are today. This is no different than the relationship Tex, Landry & Gil Brandt shared with each other when they created that great Cowboys team back in the 70s. That's why there should be absolutely no doubt in anyone's mind that JJ will do whatever it takes to keep this guy happy and (ph)at for as long as he desires to stay here in Dallas.