remove the screws that hold the trim plate on the console and you can see the switch. Loosen the 2 screws that mount it and move it a little and try it again. May take a few tries to hit the sweet spot.
Thanks Tim. I tried that and, for the life of me, I couldn't get a grip on those hex screws. The bottom one is especially difficult; it's located in a small well which makes tool work a huge challenge. I tried every wrench in my inventory with no joy.
After I gave up trying, I checked the shift plate bolts (much easier to access). The lower right bolt was loose, so I tightened it and lubed the shifter spring. Now, it doesn't take two hands (one to turn the key, the other to hold the shifter towards park) to start the car. Most always it starts normally - or - it takes a small upward nudge of the shifter to get 'er going.
I can see how that switch works, but I need some tool advice how to loosen those hex screws.
PS: I may've forgot to mention it's a '76 'Vette.
Thanks for you help.