For Ivies, UChicago, and Yale, I think that you are pretty close to the typical international applicant. Your chances are probably not all that much better than the acceptance rate for international students. Yes, this does mean that you are an exceptional student. I am confident that you will do well wherever you end up.
If you are recruited for sports that would be different (I am assuming this is not the case).
If you get to attend one of these schools, you will most likely be invited to some form of welcome event for international students. If so then you should attend. You will meet some very impressive people from all around the world. Many of them will also be very interesting and very pleasant to talk to.