The United States Air Force is one of the most formidable military forces on the planet. It is unarguably the most effective air force in military history, with essentially total dominance over the entire planet. While it's true that countries other than the US and its allies may nominally control their own airspace, it's also true that the technology the American Air Force can put into the field is so devastatingly superior that literally nobody could possibly beat it.
It's just that they are much better-equipped, better-trained, and frankly richer than the competition. If USAF were to decide to take over a country, unless that country has nukes and is prepared to use them, there is simply no way they're going to win. Given that, USAF should be noted as much for its restraint as for its power and competence.
What makes USAF so ultimately terrifying to its enemies and reassuring to its allies, however, is its people. It may suffer from all the absurd inefficiencies common to large bureaucracies and militaries in particular, but at the end of the day, when it claims to employ the best of the best, it's not kidding. It contains within its ranks some of the most effective, patriotic warriors ever to walk this Earth - or fly above it. So let's see where you would fit in among them!