I did the same thing on my 2009 Mini (3,1). The little black connector came completely off of the interconnect board, leaving a flush surface at J210. From the photos I've seen (http://s1.guide-images.ifixit.com/igi/hZAULUwXQ4b2SSmr.large), it looks like it just sits on the surface of the board. I don't see how the 2 leads actually connect with anything on the board itself. I could glue it back on, but that doesn't seem right. I could solder each of the 2 wire ends to something, but I'm not sure to what.
Any help will be most appreciated!