This is a long believed myth that ground rods will prevent shocks, and is still believed by some even to this day, and mostly because it is still a requirement in the NEC, there are many threads on here that prove ground rods do nothing to make anything safer, and as for lightning there is a published paper that University of Florida did a test on a structure at camp blanding that showed that they don't even protect much from lightning, it was posted here back in 2006 and if I can get the search function to work maybe I can find it, Brian I think was the one who posted it.
But it is my feelings that ground rods as an electrode should be removed from the NEC as they do not work, but people will still believe they do just because they are required, for every reason someone has to promote them, I can show proof that they will not function for that purpose or are not really needed because not far away is another electrode doing the same thing such as to prevent static buildup which would not happen with the utility bond at the transformer, a primary to secondary fault? if the bond to the MGN at the transformer doesn't open the circuit I sure hope someone don't think a ground rod will? remove touch hazard, Nada, open a OCPD, nope wont happen.
but as long as people think they will we will find dangerous installs like this.
as for a fix, a GFCI could make the install Little safer, but not dependable, bonding one side of the 240 volts only if the supply transformer is not center tap grounded already, Isolating transformer? another good possibility as it then could be grounded but using a grounded circuit conductor is still a dangerous thing as if this conductor looses connection it will still cause all the poles to be energized not a good idea which is the reason why we should never use a current carrying conductor to ground something.
So the only sure way is to run an EGC?