It turns out that the all-purpose glue does not glue wood to plastic for more than a week. The wood chips I glued to my car stereo to push the aux cable consistently into a place at which stereo sound gets from my phone to the car stereo have come off. So, the quest continues!
I drilled a hole into a leftover IKEA screw cover. It has a top lip that will cling to the top of the car stereo. The hole is slightly higher and to the left of where the aux port is so that the aux cable is hopefully pushed up and to the left. I’m gluing it onto the stereo. Maybe the glue is better at plastic on plastic? If it dissolves, the lip might help keep things up.