No AW11 ever had ABS. I think installing an aftermarket universal setup would be tricky if there even is such a thing, but I doubt there is.
emergency situations in an AW11 can be tricky. I faced one last year. and the car got smashed even though I did my best. the damage got off pretty light. you can't just mash your brake and expect to pull up, which sounds like what your doing. they do lock, but still takes a bit to make them lock.
the only safe way to quickly brake an AW11 is to firstly press down lightly on the brakes to transfer the weight to the front then you can hit the brakes hard.
I advise you go to a good driver training centre and do a defensive driving course with someone familiar with the quirks of the MR2. they will give you good advise one things you can do. I did one with Rick bates years ago. a few things that stuck with me was this above, and in am emergency if you can go to the side of the situation always do this over braking. and you don't brake then swerve this trows the car off stability, if you do do it you have to commit and accelerate then swerve, then brake. unlike most other cars where you brake then swerve then brake again. this is what saved my ass a little bit. I hit the brakes initally they locked so I remembered and quickly released, accelerated and swerved. and this was from 100km to 0km and everybody drove their cars away that do so it was a good result