We're talking power plug, right?
Ground and neutral are tied common at your electrical panel. If its a subpanel, they are not.
Ground is not supposed to carry current.
Ground is only there for safety reasons - a short inside the metal case will follow the ground conductor - if its a GFCI outlet, the difference in currents between hot and neutral is what trips it.
Now that that is out of the way...

In a 2 wire circuit, there is no ground. Current comes in on hot, returns on neutral. You'll see the term "double insulated" on many 2 wire items now... It means theres no way for a hot wire to electrify the case, internally.
If you have a cabinet with no ground pin on its plug, theres a good chance that metal parts inside may be at line potential - think the chassis of a CRT that still needs its isolation transformer. Grounding it by tying it to another machines ground is a bad idea.
Did that answer anything? I'm not 100% sure that its what you asked.