Could be a few things.
1) Idle screw is set too low and when you apply brake, it's actually snuffing out the engine.
2) Your clutch spring(s) have broken and are causing the clutch to drag constantly on the bell, so when the spur stops/slows down, so does the engine.
3) Your clutch bearings are shot and causing the same problem as #2.
The idle is easy to check. Without the truck running, take off the filter and neck, turn on the radio, look down the carb and apply the brake. If you see the slide in the carb move when you move the throttle on the remote from 'neutral' to brake, then turn your idle screw in until you get a 1mm gap or so when you apply the brake. Then adjust your remote/linkage so that at neutral, there is a bit of pressure pushing against the throttle holding it against the idle screw.
2 and 3 require the engine to be pulled and the bell to be taken off.