Like some sort of sign from above, my USB wireless modem broke, right around the time the USB contest was posted. I don't have the USB modem insured, and at >$200 for a new one from my carrier, I decided to fix it myself. Before I did that I grabbed my smartphone and snapped some pictures of the process to document it and hopefully help someone that comes across the same problem in the future.
Step 1: Materials Required
In order to repair a modem that has had the usb connector broken like in my situation, you will need the following:
1) Soldering iron
3) A "third hand" or some sort of mechanism to hold the components will you solder. I used a Panavise and a third hand.
4) A sharp razor or some wire strippers that will allow you to strip the extremely small wires.
5) Liquid tape to insulate the wires once they're soldered.