Being a Great Power and holding that status has less to do with how your country functions internally than you'd think. Great Power status entails a national infrastructure and muscle to play a part in and influence other nations, and then to enforce that. This implies either a powerful military base, or a robust corporate structure that makes it attractive to bank with that nation, or to base one's headquarters there. And in the 21st century you could include telecoms.
Switzerland isn't even close to being a model of a perfect government, it's not well managed to the point of being what we should do with the United States. Not to mention a different history that better contextualizes its government for t he Swiss than it does for the United States. The Swiss right now are dealing with immense inflation, the same immigration problems as anyone else. And while they may not care about it.
While we like to say Switzerland has the superior banking infrastructure because le tax haven and secrecy laws (just do your banking in and out of Delaware, they're the Switzerland of the Americas), Germany has a more robust and powerful banking sector. So much so the Germans are looked at as being the defacto leader of the European Union and the force to reckon with when you're in the middle of a Eurozone crisis.
The Germans are a Great Power without even having had a real army since the 1990's, or as robust a one since the Second World War.
While I'm not going to say the US is without its issues it's the more robust of nations, held back by the Movement Republicans of the sixties and the legacy of Reagan. But we hold a majority of the world's telecommunications, international web-traffic ultimately gets routed through the US on its way from Asia to Europe, or South America to Africa, or Africa to Europe. We're the world hub.
We're the host nation of the UN, and our permanent status as Security Council member entails even though you want to pursue isolationism: we can't. We're too crucial of a nation for that. We're internationally recognized - since the ending of the Second World War - as being a political player internationally.
And the issues of NATO aren't our own, and we shouldn't withdraw from it. We'd be letting a lot of important nations hanging, including the Germans and the Brits. But NATO is something that's fallen victim to the post-Cold War political atmosphere. Because of course no one wants to pay into it: Russia wasn't a problem then anymore and NATO's goal as a Russian containment block was irrelevant for twenty years.
We can't abandon NATO and let the world rot around us or the US will find itself slowly more isolated and all these things we enjoy that we didn't know we even had will be gone and suddenly what we have as problems will be beyond simple infrastructure bills. We're a lot better off than you'd think, and a lot of that comes from our ability to play a major part on the world stage and benefit ourselves as much as our allies.