Short answer is yes.
Long answer, is you will need to address the mounting points of the rear axle. The old mustangs used leaf springs, the new ones use multi-link suspensions. So you will have to either convert the axle to the car's suspension, or upgrade the car to the axle's suspension. Either way, it's a good time to go to a three link/torque arm and panhard bar with coilovers. As for the front, I would assume that you could swap out K-members relatively easily. Fabrication will be required, I'm sure. But overall, it should be pretty straightforward. The interior and dashboard and seats are going to be a gigantic pain in the @$$, but once again, should be do-able.