Capri is cool. It has a different vibe than the rest of the area. A bit more jet-set where people hang out in piazzas half to be seen, wearing Prada, Fendi, Gucci, Hermes, Louis Vuitton, Alberta Ferretti, Loro Piana, Vhernier, etc. just out for lunch under the sun. Not bad for a place where Caesar Augustus liked to sequester his young boys for buttseks.
It's a complete night-and-day difference between night and day, however. Overnight it's largely just locals ... people wearing furs to dinner at nice local restaurants where they prepare a special meal for your dog Fifi. It's low traffic and mellow.
In the daytime, everything changes. There are great hikes out to Villa Jovis and the like, where at 8am you can witness the Invasion-of-Normandy-like surge of tourist boats approaching on the horizon en masse. Then the hoardes of day-tripper tourists take over the center of town and the place gets quite lively.
Another cool thing is the complete lack of cars in the upper parts of the island along the main towns.