Its hard to believe all these new shocks are too soft. Mostly, the shock controls rebound. When you push down on the car, the force needed is mostly to do with your spring rate. When you let go, the car should come up and not bounce any further if the shocks are good.
Does the car continue to bounce when you push on one side, or just return to original position with no bounce?
If you want a stiffer ride with less roll you probably want stiffer springs. People talk about shocks matching the springs, but I don't think its a sensitive as some things. The same shocks will be able to match a number of different spring rates, so some extent. Very stiff springs will need different shocks obviously. But adjustable shocks on the stiffest setting will often be too stiff for normal springs.
Beware, cutting your strut as much as you have with Celica inserts will limit your travel heaps. Driving on a hwy or circuit will be ok, but if your on bumpy hilly roads your front wheels will lift off occationaly.