MIT and Princeton chances

Hello,
I am a rising senior looking to attend a prestigious college next year such as MIT and Princeton.

Academics:
-Valedictorian of a National Blue Ribbon High School (class size approx. 300)
-Current summer intern studying high energy physics at Johns Hopkins University
-GPA: 3.96 out of 4.00
-QPA: 5.61 out of 6.00
-SAT: 1450 out of 1600. Not a satisfying score, but I did get a perfect 800 on the math section
-SAT essay: 6/6/6
-SAT Subject Math Level 1: 730
-SAT Subject Math Level 2: 740
-APs- AB Calc:5 Statistics:5 PhysicsA: 4
-Vice President of the National Technical Honor Society at my school
-Vice President of the Fellowship of Christian Athletes
-Member of Spanish Honor Society, Math Honor Society, and Science National Honor Society. I complete a minimum of 36 hours of service per year for Honor Societies alone.
-I will (hopefully) become an Eagle Scout by November
-First Chair Clarinetist of our School’s talented Wind Ensemble
-I play the saxophone in the school’s jazz band

Athletics:

  • Varsity Indoor and Outdoor Track 9-11th grade. Have helped win 4 regional titles with my team. Additionally won a regional 4x800m relay with 3 others. Placed 4th a States in a 4x800. I have also won about 10 other small races individually
    -JV cross country 9-10th grade, Varsity 11th grade.

I am also a Polish American and am fluent in both English and Polish; I have also taken 5 years of Spanish

I hope my ambitions will pay off, I am just concerned that my SAT scores are not high enough. I appreciate any honest opinions about my chances at prestigious schools and any suggestions for me.

Thank You