It's not like it was an automatic consequence. It was a choice.
Soldiers sent to war and suffering happen. In itself it is not historically significant, neither is an invasion in itself. You could argue that the Soviet invasion of Afghanistan was more significant because it fueled islamist extremism and the US backing of Al Qeada... While the US's invasion of Iraq has its root in the 80s and 90s, with 9/11 being only a convenient pretext, and does not seem to be hugely significant historically.
Everything changed when the Berlin Wall fell/the Soviet Union collapsed. The reality is that nothing really changed on 9/11. An emotional perspective is not a historical perspective.
Edit: Arguing that the 21st century started with 9/11 seems both superficial and American-centric to me, like your reply to this comment below. It misses the big picture, the global context.