Like everyone else has said, upgrade the wiring--the "big 3"
-Power wire from battery to alternator
-Ground from Battery to chassis
-Ground from battery to body
Next, upgrade the alternator. MR2 turbo's are either 120 or 160amp, as opposed to our 80amps.
If you still have trouble go to a better battery.
Only THEN if you still experience problems should you add a cap