Just to be contrary, I have a sneaking suspicion that everybody's suggestions are wrong. You said that it dies as soon as you put it in drive. Any chance its your transmission?
If the torque converter is coming apart, it can lock up and its the same as you letting off the clutch on a manual with your foot on the brake.
If it drives normally until you try to stop, I'm betting its the transmission.
I argued with a guy for over an hour that his transmission was in trouble one time, but he kept insisting it was the timing on his engine. Despite the fact that he had to stand on the brakes to keep the car from rolling when he had it in gear.
Finally the transmission died about two days later, and wonder of wonders, the engine stalling problem went away when he got it fixed.
If it were newer, I would suspect the torque converter lockup circuit, but I don't think they had them in '89.