American influence in the world is certainly considerable, but the United States does not control, directly or indirectly, the politics and economics of other societies, as empires have always done, save for a few special cases that turn out to be the exceptions that prove the rule.
In the past when a country became as powerful as the United States, other countries would band together to clip its wings. But that isn't happening now and I don't think it's not going to happen, because other countries are not threatened by us, and they secretly appreciate the services that we provide, even if they don't usually say so.
The attacks of September 11, 2001, were spectacular, riveting, grim, costly and searing. The shock that they caused reverberated throughout the world. What happened in New York and Washington and Pennsylvania ended the lives of thousands of people and changed the lives of many more. But they did not change the world.