Is it possible to add an audio bluetooth profile to my phone?
See my answer to a similar question - the problem is that within the Bluetooth AD2P profile (for stereo quality audio) Android phones aren't designed to be a "sink" (a receiver of media) only a source. You're right in that this is a limitation of the Bluetooth stack on your phone, but so far the info I've found says that trying to alter the stack comes with moderate amounts of pain and compromise. Perhaps you're more adventurous than I?