I wonder if one could build a metal cap, shape and color matched to the sharkfin, that goes over the antenna and couples to the roof of the car. Would that be enough to make a small Faraday cage over the antenna? Would leakage though the mounting hole still be enough to let a signal through?
I don't think you really need to get that sophisticated. If you unplug the antenna and send too much current down that antenna line, whatever's on the other side is not going to like it.
EG if the cell tower was very close.
Was fine after I used a resistor to turn that power into mild heat.