Do I have a chance of getting into Princeton?

I'm ending my junior year and I've always dreamt of going to Princeton. Is there any chance that I would be accepted into Princeton? I'm a white, middle class male from New Jersey, which is not in my favor. On the other hand, I'm ranked #1 in my class, and I have been recognized as a National AP Scholar, completing 8 APs since my freshman year. My SAT score is a 2280. My PSAT scores also indicate that I will be selected as a National Merit Semifinalist if not Finalist, and I am a member of the National Honor Society. For the past two summers, I have been accepted in the Johns Hopkins CTY program, studying cryptology and genetics in each respective summer. For the rest of the summer, I had waited on/ bused tables at the local diner in my town. In addition to schoolwork, I'm heavily into the arts and have been leads in 8 shows, a mix of dramas and musicals, since my freshman year, having intensely studied voice for the past 4 years. I'm a member of my school's acapella chorus, music ministry group, concert band, jazz band, and brass ensemble, playing the piano, three saxophones, and being able to sing. I'm heavily involved in my church and do large amounts of community service, having started a math tutoring business in my town for any age. I even started a Habitat for Humanity group at my school and have organized trips to New Orleans for two years to help build houses. With all of these assets, do you think Princeton will consider me for enrollment, or for enrollment in any other Ivy for that matter? If not, what can I do in order to improve application?