If you're doing it in the US, it shouldn't be a problem in most states to get a friend or family member ordained by the Universal Life Church online and perform the wedding for you!
Blah, blah, boring practical stuff--consider maybe getting married AFTER midnight so you'll be married in 2012. As a US citizen resident in the US for most of the year, marrying a non-resident alien at the very end of the year could potentially complicate your taxes unnecessarily.
Just something to think about.