The link below should redirect you to my post with part numbers, etc. To install you might need to remove the left rear seat again to access harness, the plug should have a cap on it. Just plug in and snake it under the carpet to the console.
This is unfortunately one of those unfortunate situations where there is no easy solution. If it were me and the center console mattered a bunch - I'd force them to re-order and perhaps try and negotiate some free future service or something for the dealer's mistake and our having to wait...
lincolnforums.com