Upon mentioning that the band's management were looking to get a song of theirs on Grey's Anatomy for the next season, Poster Girl raised the interesting point that "My Baby's..." sounded a bit too pop for the series.
Actually, the song submitted to Grey's is a ballad called "In Your Arms," written by Industry band member Lee Hutton (i.e., the one guiding your line of sight to his naughty bits in the above pic) and produced by Jakke Erixson and Oscar Holter.
Here's a clip of "In Your Arms":
Also, here's the link to Industry's official site.