G'day Dave, and welcome to the MR2 community.
Steering wheel shake at constant speed:
Maybe first of all have the wheels properly balanced, as well as checking the front wheel bearings, ball joints, and track rod ends for any play/slack.
If you have aftermarket wheels, they may need concentric hub rings to center the wheels properly. Tight fitting metal ones are best.
When fitting mag wheels, to ensure even wheel clamping the wheel nuts should only be tightened using the so called ‘star’ pattern, first in a couple of passes, then finally tightening with an accurate torque wrench. (I use 80 ft/lbs)
Hub runout:
Assuming all the above items have been taken care of and you still have steering wheel shake, the next thing to do would be to check the front hubs for excessive runout that may have happened after a front end collision or a wheel hitting the curb at some stage. That could cause the hub/rotor/wheel rotating assembly to be out of balance.
Steering wheel shake that only happens during braking is probably caused by unevenly worn rotors.