Terrrorism will not dissapear. But getting the new government up and running will be easier.
And then the new government can legitimatly prosecute the terrorists who are probably considered POW's when captured by the US and coalition forces.
When the new govenment captures them, they will be considered traitors, murderers, etc... and executions will probably cause the terrorist's ability to recruit new terrorists to decline.
Until the new government is in "full control" terrorism and attacks on US forces will continue.
Scott Evil