As a mother and an early childhood educator, your questions perplex me. But these concerns are obviously very important to you so I will not discount them.
I think you need to examine the reasons behind your concern. Why is an Ivy League education so important to you? If the impetus is money, power, and prestige, then I think you should contact these schools directly.They all have admissions departments and the people who toil in them LOOK for specific things, like you stated..........ASK them what they are looking for in qualified candidates. Take it a step further and contact somebody in the alumni association.....all those schools have one because they are all so darn proud to have attended those schools and they paid so darn much money for the privilege! I am sure they would be happy to share information with you.
If you are looking for education to enrich your life, then do the things that all thoughtful and self-actualized people do. Read voraciously and prolifically. Read a lot. Read constantly. Read about topics that interest you and discover new topics and then read about them. If you don't write a lot already..........start writing. Write about your life, your family, your connections to the texts you read, the little things you observe in your life. Find the things that satisfy you: Music, sports, a good chess match, BOOKS, animals, crafts, woodworking...........I could go on and on! All that reading is going to enhance your life and enrich your vocabulary. It will help you communicate and put forth a good argument. It will help you to lead a rich and meaningful life. There are some schools out there that actually TEACH a "great books" curriculum. You could start that foundation right now!
Your parents sound like good advocates. They are "setting up a meeting." Good. If they are not satisfied with the results of that meeting, they must find somebody else in the school district who can answer these questions for you. They MUST be your biggest advocates because nobody in the counseling office is going to care about your education as much as you do.
Many high school students (and younger) sit for placement exams at the local community college. If you meet certain requirements, you can take courses there........in areas that interest you or that might enhance your learning experience. Keep in mind that you will have to meet certain prerequisites......... a certain level of writing proficiency, for example, or completion of certain coursework. Counselors in these schools are very knowledgeable about what it takes to transfer to the universities that interest you.
Rich, your values will probably change over the next few years. Enjoy your school experience NOW and engage in activities that you enjoy NOW so that you don't look back with regret. There are many different roads to get where you want to be........ it appears that you are on the right track. Let your parents have their meeting and talk about the possibility of community college coursework to supplement your studies. And READ READ READ!
Have you read The Hitchhikers Guide to the Galaxy by Douglas Adams yet?
Good luck and keep us posted!