This is false.
The city -state of Asshur at the beginning of the second millennium BC, built itself an army necessary to defend itself from its neighbors. Defensive quickly turned to offensive out of greed.
By 1100 BC, the Assyrian forces had advanced from the Mediterranean sea in the west to the Persian gulf in the south . At its height, their territory spanned an immense area including Egypt , the Iranian plateau, the Arab peninsula and even the mountains of the Caucus.
If you're referring to new non-European states that have risen since the Cold War Ended, then the effect has perhaps been minimal in terms of their daily lives, but if they have close relations with the US it would mean a stronger connection.