Here's a first comment by a non-expert:
It is unlikely that all the bulbs are blown. Problem is probably some kind of "central" problem like the rheostat or an electrical connection.
Annoying but to clean up the rheostat, the central instrument cluster has to come out. This is a bit of a job: the tach and speedo must be removed, the oil pressure tube has to be removed and capped; the temp gauge tube has to be removed (very sensitive to damage from bending). Should cap the temp cable engine port to prevent water from coming out.
There are specific instructions for removing the cluster in the Tech Manual or in other postings here.
While I had my cluster out, I sprayed the rheostat with Tuner Control Cleaner/Lube.
While the instruments are out it's a good idea to replace the bulbs since access is so difficult.
Also, it may be posssble to remove the rheostat knob and spray some cleaner throught the hole but this may fog up the glass...with a radio tuner it doesn't matter but you don't want a cloudy cluster glass.
Here's a photo of the cluster back and rheostat cover.
http://www.sl113.org/wiki/pmwiki.php?n=Electrical.TemperatureRichard M, NYC