I may be simplifying this, and I confess I'm not an expert on world politics.
But it seems to me that Tony Blair has a basic idea that, if there is a fundamentalist or totalitarian viewpoint out there, the only thing reasonable, liberal, democratic people can do is find the people that hold that view, and bomb them into oblivion. For peace. In a democratic, free-speech, rights-respecting kind of way.
As I say, i may be misrepresenting his view.
But, then, Iraq happened, didn't it?