Was once ok and now is not?
How, when, after what did it start to shutter.
No shutter in reverse sounds like motor mounts or possible cracked K member or chassis. All bolts there torqued properly?
With handbrake on, ease clutch out in low gear. Still shutter? Can you get it on a drive on lift and have someone under car while easing clutch out to perhaps observe what may be occurring?
Driveshaft too long, causing a bind as axle winds up as clutch is released?
The car has shook the two years I've had it. According to the last owner who had it 30 years and it's been on stands for about 15, It has never shaken for him till just before he stored the car away. He got the car running then I bought it but I didn't drive it down the road before hand. He did report the fact he felt it needed a clutch.
During assembly all bolts have been torqued correctly.
I have raised the rear of the car on stands and had someone in the car so I can observe clutch, drive train action. No issues. Car has to be on the ground, taking more torque/resistance to highlight the issue. When handbrake is on, car back on the ground and easing the clutch out, no shake.
Wayne Brewer suggested also measuring the drive shaft. Shaft is the correct length.