That should be the E30 body. If the shifter is slopy, it's most likely the shifter plate mounts, these 3 rubber mounts (you'll have to remove the drive shaft to get at it) just wear out. Even quicker if soaked in oil.
If the metal bracket is bent, check the engine mounts to see if they are good. The trany mount bracket bolts slide in rails built in the body, I advise that when the mounts are bolted in place on the trany to slide the bracket so the slots slightly push against the mounts then tighten both the body and trany mounts down. As far as a good idea on how they are built, I do beg to differ. However, it does make life easier when you change them.