I had the same problem with my poker a few days ago. I eventually figured it out and all is well. In a perfect world, you would be able to snap both of those mini switches in place and slide the wire in from the front. No such luck. I snapped one mini switch, inserted one side of wire, and then holding the other mini switch WITH the wire inserted in it already, snapped it down in place. this got me both halves of the stabilizer with the wire half way in. I then had to push the wire down into its clips to finish the job. It took about 45 minutes of fumbling around, but now I know what to do next time.
Taking another cap off to have a visual comparison for the stabilizer was extremely helpful, too.