Radical Islam wants that war on their terms, not ours. Aggressively pursuing them, seeking them out, and destroying them is the last thing that they want. Passivity by nations in the western world allows them to more easily plan and organize attacks, as well preserve their numbers as they expand.
Take a look at
this Wikipedia page, it lists the major Islamic terrorist attacks that have taken place around the world. Pay close attention to the number of attacks each year since 9/11, and you will notice something very telling.
Do you see starting in 2005, how the number of major Islamic terrorist attacks per year began rapidly shrinking each year through 2009? That was during the peak of the wars in both Afghanistan and Iraq, including the 2007 troop surge. Now jump ahead to 2009, when Obama announced shortly after taking office, that we would be withdrawing our military from Iraq in the coming months and years. The troop withdraw began in mid 2010 and was completed in mid December of 2011. Now take a look at that list of major Islamic terrorist attacks each year from 2012 through today. As you see the number of attacks per year reversed course and began growing exponentially.
So I ask you basically the same question... What strategy has played into their hands most effectively since 9/11?
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