

The tools are roughly the same, however the key difference is the position. With the fall of the Soviet Union Russia became nearly a regional power, which is trying to become a great power and hopes to be a super power again. The US ended up being the remaining super power and mostly controlled the world. So the US does not have a massive plan for world domination, because it already is pretty much in that position.
You can see that with China. The US was very interested of integrating China in its global economic system. However now it is starting to take over, so we see trade wars and things like the Muslims.
Similar situation in the Middle East. The US used to import a lot of oil, so low oil prices were important. At the same time oil is traded in dollars, which as everybody needs oil, creates a lot of demand for the dollar. The US can just print more, which is pretty much free money. However the Middle East is the clear main source of oil, so to make sure those countries do not sell in another currency, the US has to show strength. Hence taking out Iraq. Nowadays the US is an oil exporter. So it is much happier to take out the competition. That happened in Venezuela, Russia and now Iran. Keeps up the oil price, which helps the US economy.
However those are all reactions to events, rather then some grand strategy. The US just wants to keep its position in the world.
For your average Trump support they are the same thing.