Exactly. This "war on terrorism" phrase does not address who the enemy is.
For the moment, it is in our best interest to leave things nebulous. Only 10-15% of the Muslim community is even slightly interested in taking up arms against us.
We need to battle these guys without waking up the other 85-90%. We are talking about a BILLION people here guys.
One of the missteps G.W. took in the first few days after 9-11 was to use the word "Crusade". He quickly backed away from that term. He knows what is going on.