I am so sorry, I looked at all the pics you included and can't determine which two parts you are trying to attach. Do me a favor. Take a look below at the linear shift assembly. Do you see the part there?
The idea that you want to connect plastic and a steel cable, you could try something like LB weld. However, I know the best choice for metal to plastic is going to be an epoxy.
I have used Permabond in the past, and it has held metal and plastic together well, but I can't guarantee it will work for this application.
If you look at pic 1 below, that is what I have used. Pic 2 is the linear shift assembly.
Let me know if this helps.
See pics below.
Images (Click to enlarge)
Friday, October 29th, 2021 AT 6:19 PM