Violent Take-Off Shudder

Leave the angles where they are they are pretty close.
If it's not shaking at highway speeds your angles a OK.
You have a clutch issue.
I had this issue on my Vette years ago when I trashed a brand new pressure plate.
Just for ***** and grins, have you measured your current crankshaft end play?
As YR pointed out you have a clutch material issue.
Believe him, and you will be on your way to solving the problem.

Well, that sucks. Pulling the trans out of this car is an absolute nightmare. Here is a video of how much it is shuddering. The shudder translates all the way to the wheels.