Grounding/lightning protection question of roof-radios

[phadobas]

I have a wireless radio installed on a roof for wireless back-haul back to my central building. The radio is on the roof, and is driven by a cat 5 cable that gives it power from an indoor poe injector.
This particular radio has a grounding post/terminal sticking out of it. Now this might be a stupid question, it may be a big NO-NO, or it might be done all the time:

There is a lightning rod on this roof and a grounding cable is just going down to earth from this rod. Is it a good idea to connect the grounding terminal on the radio to this grounding cable going from the lightning rod to the ground?

As a note, indoors, between the poe injector and the outdoor radio, there is an ethernet surge protector, which (will be) grounded inside.

 

[wires]

Never attach anything to lightning protection systems. All outdoor antennas should be grounded per NEC.

 

[robertjo24]

The radio chassis should be bonded to the building ground system. The incoming Ethernet cable from the radio should pass through a surge protector that should also be bonded tot eh building's ground system.

 

[phadobas]

Thank you guys for the replies