I tried wiring just selector, volume, tone, output jack. Didn't make a difference. Tried selector, volume, output jack. Same thing.
Both potentiometers work. They meter right 987k and 975k. They work.
It doesn't get noisy when the tone control is all the way rolled off. When I grounded the cap to the star ground, and also to the tone pot, the noise went off. But in this case the noise went away, but the tone control doesn't work.
So this makes me think that it is a potentiometer problem. But it would seem if they meter correctly and work correctly when connected right, it would be hard to peg this as the problem. I guess I will try different pots and post the results