I have soldered for almost 20 years, for occasional hobby stuff. I'm nowhere near an expert (some people are amazing!), but I am quite experienced. I have a good power soldering iron with interchangeable tips. I've also repaired countless phones, ipods, computers, etc. But this stupid thing kicked my butt. I hate dealing with such tiny components, and I hate dealing with Apple's fear of exposed fasteners.

Just buy a new one at this point.