You could drive 30 ground rods in a ring around the building and connect them all with 1/0 back to the panel, it wont help. Grounding doesnt matter here because the current is trying to return to the source, not to ground. You would have to get resistance to ground down below 3 ohms to have a chance of tripping a 120V 20A breaker. Grounding is not for clearing faults, nor a substitute for the service neutral
The service neutral is effectively zero impedance. The coax shield, tho grounded, is in parallel with the service neutral, it has some resistance. Under normal conditions, i.e., good neutral, the coax never carries any current. Now, remove or otherwise open that neutral connection, and the coax shield will try to carry any and all current imbalance. and since some rather thin foil and small braids cant carry more than a few amps, it melts and burns.
Here is an article on it with more detail.
http://www.electrical-forensics.com/Open-Neutral/Open-Neutral.html
Note the writer was shocked when he touched the ground as it was live with 120V.
I'm of the belief that CATV systems should NOT be bonded back to the panel, against the NEC. Guess what? Cable installs here, done ca mid 80s, are NOT bonded back to the panel. Cable Co drove at rod at the demarc, installed a copper wire between the two, and left. I have never seen any faults (electrical or signal-wise) on such systems with untouched original wiring.
NEC requires CATV to be grounded back to the panel now. But I bet if you installed a 14ga wire on the neutral in parallel with your triplex drop, you'd fail an inspection in a heartbeart. Bonding the CATV is essentially doing the same thing, but worse.