Lots of luck. They are incredibly hard schools to get in, and many well-deserving students don't make it. But as an international student, you could definitely have advantages there. We try to draw lots of students from around the world here to add more diversity to our schools and more knowledge of other cultures. Personally, as a student in it, I think the whole education system here is screwed. I mean the schools are amazing, but the best and brightest students often don't get into the best schools because they just don't have enough spots. Look into some "public ivies" as well as top state schools, such as the UCAL system, UVA, MICHIGAN, and Florida. All are excellent alternatives, and are HUGE schools with very diverse student bodies. You're going to get more of the "American experience" there.
And btw, SATs and ACTs are HUGELY important here!!! As are extracurriculars and just having passions in life.