I have added two 1/8 in. shims on the front of the two mounting studs on the differential. The vibration has diminished greatly. There is still a slight vibration. I think most people would not notice it. But I am now looking for it. I and going to add another pair of 1/8 in. shims when I get a chance. The car is definitely acceptable to drive now.
Once I add the second pair of shims I will post the results. This may be a while since the car is usable now. I would like to thank everyone for there help.