How likely is it that I will get into Princeton or another Ivy League?

Colleges ask for unweighted GPAs. With those classes and activities, you're about an average applicant for a top school. Everyone applying has the highest grades in the hardest classes and very high test scores. You need a lot more - you need to find a way to stand out, hopefully in the major you're planning to take. Right now, your activities are all over the place - nothing focused, nothing unique, nothing that will make you stand out for a top school. What do you plan to major in, and why don't you get involved in that field now? And most of all, why should you go to a top school instead of a state school (besides the prestige)? Most people won't do any better in their careers thanks to a top school than a state school.