A999 Transmission mated to a 73 340 motor

ChrisRom said

It vibrates in park/neutral, anytime the engine runs. I am thinking either balance, engine mounts, transmission mount.... hopefully nothing else more "major".
Also, this car was never meant to have a big engine in it. It is a small mid 60's car. Maybe it is just shaking from the torque of the motor.....

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True, everybody's definition of "vibration" could be a little different- could be as simple as a slight misfire, or a bum valve/lifter/cam lobe and not a mechanical vibration... sounds like you've got a bit of digging to do. Good luck, though- she'll have a sweet little ride once you get the bugs exorcised!