After the Cold War, the United States started to be more implicated in the world, notably on a military level. Not only were they more implicated, but this implication was also much more open and public compared to previous military altercations linked to Containment which were therefore much more secretive (for example Iran-Contra, Nicaragua, Chile, start of Vietnam War, etc..).
Indeed, the 1991 Gulf War is a symbol of this military implication. However the US also took a very international stance which pushed a lot towards the Globalisation we have today. Neo-Conservatism being one of the most important aspects of the Bush Government. This ideology was characteristic of the US's importance within the global relations between all countries around the world. And finally, not to go too much into detail, Neo-Conservatism also illustrated the US's interventionism (notably in Iraq and Afghanistan after 9/11). This interventionism greatly contrasts to the US's pre-WW2 reputation for being non-interventionist and isolationist despite Wilsonianism which favoured intervention at that time.