Weel isn't that special?
DUde you got some issues here. First off I would replace all the mounts. Is that rust where the metal is gone or did they slot the metal part of the mount? I can imagine the vibe is from misalignment of the motor and transmission. I have not performed this swap but I know that someone here has so seek thier guidance before you drive your car, this is just crasy looking. I would CARFAX this thing and see if it spent time on junkyard wars or something!