Is it not the case that the more mucus your condition produces the more likely it is IBS or UC. I remember reading that CD tends not to produce mucus as it attacks a deeper layer of tissue - even in the bowel. And by a similar argument some form of pain is always present in CD whereas it is possible for UCers and IBSers to be completely pain - free (thats not to say that most UCers dont go through severe pain). This is rare for CD.
The original name for UC was mucus colitis.