Why does my 1987 jeep dies when i stop at a light or stop sign?

it could be the air idle control vavle

1st get alternator tested. if good iddle air control valve is sticking closed

It sounds like the fuel filter is clogged.

I seem to be having a problem I can only imagine is a leaking brake booster diaphragm. The engine dies when I hit the brake.

possible dry rotted vacuum lines check for visible signs of this as well as check the air cleaner .....possible gas leak or needs new fuel filter

Do you have a rpm guage? If so see is it moves when cranking, if not the crankshaft sensor is bad and is located on top of the transmission bell housing. Also it can be scanned to confirm a faulty sensor

Sounds like screen in tank may be clogging up,install fuel preasure gauge and drive ,when problem occurrs check preasure.

The pump is in the fuel tank. You need to replace the fuel pump. it is dying, and will sooner or later die all together. Have you changed the fuel filter????? Also check that out!!!!

First of all you should check your transimision fluid in your gearbox, if the car is automatic, and refill until the proper sign.
Utherwise you should check the clutch if it works properly, maybe you have to adjust the clutches gap.

Probably is the electrical side. Start your vehicle, with the engine running disconnect the positive battery cable. If the engine dies then your alternator is the problem, if engine continues to run the battery is at fault.