I think that the F-117 was designed with the capability of launching Sidewinders. I recall that Nighthawk pilots trained to launch said missiles, but obviously the production F-117 lacks that capability.
That is true if what the USAF says is true. One of the early missions of the plane was to take out enemy AEWCS planes using stealth, making them blind on the battle field, but they found out during testing from what I herd that the E-3 put out so much energy when it scans that it can see it coming before it would be in firing range of sidewinders, So it could call for help from a faster fighter and direct it in the direction the F-117 was coming or heading too. I herd they did still did train with the dummy configuration of the launcher and the missiles.
Also not sure if it was true or not but the USA and the USSR signed a treaty not to build more bombers, since they were trying to reduce arms in the day, hence the "Fighter" designation.