Faster Cornering / Turning

Are you familiar with the Traction Circle? The idea being as you approach the corner, you want to be hard on the brakes, then start to ease on the steering lock as you release the brakes. The aim being to be completely off the brakes with the full amount of steering lock needed as you reach the apex of the the turn. Then you start getting on the throttle as you wind off the steering, until you're pointing straight down the road with full throttle.
The MR2 does benefit from a bit of throttle earlier to get the weight transfer right, but don't go too crazy.
One of the most important things is being SMOOTH with every input. The less you upset your tyres the more grip you'll get out of them.

A small tip that I learnt from riding motorbikes, is when you're exiting a corner you'll tend to use up the whole road and end up on the very edge. Its better to try and keep the tightest line you can without losing grip. If you're not on the edge of the road, then it means you could have taken the corner faster.

But for god sake, be sensible. The road is not a racetrack, and you're an idiot if you try and drive at 10/10ths.

LSD

incorrect statement there DVS mr2. yes swaybars will reduce body roll but it will infact make the sliding worse.

when the car body rolls more it actually means that more weight is being transfered downwards onto the wheel during cornering. when it rolls less less weight is being transfered downwards onto the tyres.

when increasing swaybar stiffness the natural reaction is, stiffer front bar increased understeer. stiffer rear bar gives you increased oversteer.

unless your plan is to make the car understeer more to stop the rear end sliding

Like DVS stated, start with good tyres and pressures before chasing set up.
Also have the Camber/caster/alignment, ride height, spring rates, shock absorber rates set correctly by someone who is able to do all these things correctly. There are many cowboys out there who do a 'toe and go' adjustment and that's it. You need a comprehensive geometry reset before chasing any handling issues.
 
 
Sounds like you need a few days at the track to completely understand how your car works, where the limits is, what happens when you exceed it, how you recover from a slide with being stopped by trees,poles,guard rails and other cars. Once you understand the principles and the cars(and your) limit, you can then start to fine tune your driving then make subtle changes to improve improve the car's manners.
Driving instructors at drive days are also a huge step in the right direction for you and your car.
 
You cannot do this correctly on the street. There is no real comparison to truly understanding your car without extreme risk on streets and country roads. The Po, can also spoil the party.