It’s an easy fix for a licensed electrician.
Replace the bare Aluminum neutral conductor with an insulated #2 AL conductor. (Code required for a sub panel)
Install a new #8 copper green insulated equipment grounding conductor. He will terminate it on the ground bar in the sub panel. (Could be #8 bare solid but stranded is easier to work with. He’ll use a piece of green stranded #8cu insulated wire.
Move the equipment ground wires from the neutral bar to the equipment ground bar. (Extend wires as needed)
I would have the electrician check the System Ground, Grounding Electrode System, (Electrical Service connection to Mother Earth), to make sure it meets the code for your city.
.