Since 72k when I bought it, until 215k now, my Q has never seen a drop of anything under 91. One time, I got to a gas station with my GF, and all they had was 87. I was nearly out, and elected to have her wait with the car at the station, and I walked one-way 2 miles and back to get a gallon of 91

It's really that important. She still gives me s*** for it.
As for the shake, we need to first determine if it is a low/high idle, or a rough idle. This happens when you tell us what the engine idles at (should be ~650rpm), and if it is any different when it is rumbling.