Most disk/drum cars from the 60s and 70s will lock the rears first, actully a better alternative then the fronts first. Shocks can also play a roll in braking if your getting to much front end dive under hard stops, which lightens the rear.
Yup, they lock first alright, then it sends the car into a dangerous set of loops all over the highway. The shocks are new too as are all the rubber brake lines.