The ID is in the digital stream, they are indeed IDing but you will not hear and identify the ID by ear. And those modes and frequencies are in use by hams someplace in the World around the clock, so signals are pretty much always there, even if you are not receiving any at your specific location.
You might try MultiPSK or FLDGI, both of those pieces of software can be used with your sound card to decode digital information, depending on the mode. There are literally thousands of possible digital modes, hundreds that are common, and no one software will decode them all but between those two softwares you can cover most of the more common modes.
By the way, the digital signal sounding like any specific song is accidental, it is just a data stream.
You might check into the #wunclub IRC chat for real time help identifying signals (the link to the Java access can be found at the bottom of the front page of this site,
http://www.hfunderground.com/wiki/Main_Page but if you have an IRC client it is a bit better). Quite often there will be people in there who can give you some direction on what a signal might be, and it being a real time chat they can tune to the signal to make sure. But, if you do go there, be aware that just because you see names of people in there it does not mean anyone is actually at the monitor. Many people leave that window open 24 hours a day to log other peoples reports, but might only be present a few hours a day at most. And the activity tends to swell and ebb as different people get off work or go to work.
T!