Based on this suggestion, I am now considering a sort of hybrid approach.
I am considering using the piece of black Zip Tie, cut at a sharp angle, then pushed into the wood tie, then anchored in place with the JB-Weld.
Sounds like a pretty iron clad plan.
But of course the proof will be in the actual doing.
Actually, that is what I did. Memory is not that great and its been a while since I did it, but that is why you need a stiff piece of plastic. To push it into the soft tie material.