Hi guys, sorry for opening this old thread again.
I really would like to see any outcome here, did you find out what was the issue? Transmission or motor mounts did solve the issue?
I have similar issue - car shakes back and forth, mostly on accel/decel after cold starts, even the RPM gauge bounces up and down a little
Downshifts are as well pretty strange, after releasing clutch pedal car shakes, bumping back and forth a bit, even on fully operating temperature (everything, not only oil).
At 43k miles changed clutch and lightweight flywheel from JWT plus CSC and also urethane diff bushings.
Car still has the same behavior, with the above mentioned upgrades, no change in this bouncy powertrain response.
At the same time acceleration is delayed and preceded by some back and forth bounce/movement, hard to describe it