Because what we chose instead was to spend $8 trillion on a 20 year war killing millions in Iraq and Afghanistan and still to objectively lose militarily, politically and in terms of the ability for the US to project power in the region. The Taliban control Afghanistan once again.
All while doing absolutely nothing agains the actual regime that provided material support to the 9/11 hijackers, the same regime from which the majority of the 19 hijackers (and bin Laden himself) actually came from.