87 2.5 uses DIS instead of a distributor and the ICM fails much less often on them.
Run the car and then turn it off. Take off the air filter and look down into the throttle body. Is the injector leaking/dribbling fuel down into the throttle body? If so your injector is the problem. You could try some injector cleaner and it might clear up the problem.
The leaking injector floods the intake manifold with too much fuel. After time the fuel evaporates and the engine starts. If a leaking injector is the problem, the problem would not manifest itself on a short shut down but would on a longer one. Longer for example being filling up the tank with gas. Shorter being just turning the engine off and then back on.
[This message has been edited by phonedawgz (edited 04-08-2014).]