It seems that way. Because the only Islamists we ever hear about are either a.) al-Qaeda, b.) al-Fatah, c.) Hezbollah, d.) Hamas, e.) Islamic Jihad or some other crackpot radicalist group.
But the best estimates are that no more than 10% of the population of Islam, from Morocco to the Philippines, actually sympathizes with the radical Islamist factions and is actively anti-American.
If there are 1.5 billion Muslims worldwide, and only about 150 million hate our guts, it doesn't serve our purposes to gratuitously make another billion enemies. We're better off trying to keep them from joining up with the bad guys.
For a very good perspective and some valuable insights on how not to fight an Islamic terrorist war, check out this thread.
In my estimation, from a learning standpoint, this is one of the most valuable threads ever on Free Republic.