A lot if the perception of USAns as "arrogant" does not necessarily come from politics - they understand that USAns have little control over what their politicians do. Most of the perception comes from USAns refusal to "join the world" by adopting many customary international conventions and expecting others to use our conventions and even language when we visit their lands.
The first important thing we could do, which would be an economic and technology-exchange boon too, would be to simply end its arrogant-air-of-superiority clinging to its archaic and obsolete units of measure and fully adopt the SI (aka "metric") system. Merely announcing that we were doing this would be symbolically important and it would go a long way at removing the "arrogant" stereotype. Jimmy Carter tried to move us over to metric, but it was all ended by Raygun who considered metric to be somehow subsersive and even more strangely, "socialist".