There is no problem with meeting enlistment goals. In fact, the truth is that they are actually above their goals.
The media just loves these draft stories since it gets people listening to them. They can do an entire story on how the draft may be needed, and then spend 5 seconds at the end on why it's really not necessary.
http://www.cnn.com/2004/US/05/19/mil....ap/index.html
"Statistics through 2003 show all branches hitting annual targets, with no dramatic spikes. In fiscal year 2003, the Army, Navy, Marines and Air Force brought in 184,879 recruits to active duty, exceeding the objective by more than 500."
"And despite the bloodshed, soldiers are re-enlisting at rates that exceed retention goals, according to the Pentagon."