What are my chances of getting into Yale or another Ivy League School?

I just finished my sophomore year in high school and I am about to be a junior.
-Gender: Female
-I am half brazilian, part African, and part Jewish.
-My high school has the IB program which I will be apart of my Junior and Senior year.
-Class rank: 11/566
-GPA: 3.9 (UW) 5.1 (W)
-I have been a straight A student my whole life.
-Girl Scouts when I was in elementary school.
-Volleyball for 5 years.
-Band for 4 years (I can play the trombone, baritone, guitar, and drums).
-I also participated in Jazz and Pep Band throughout middle school.
-I was just inducted into National Honor Society and will be apart of that for my next two years of high school.
-Spanish for 3 years so far (going to take Spanish my junior and senior year also).
-I volunteered at the Medical University of South Carolina the summer of my freshman year, and I am planning on doing it again.
-This summer, I am volunteering for the Feline Freedom Coalition.
-Last year, I went to DC because I was invited to attend the National Academy of Future Physicians 3-day conference.
-2 years ago, I attended the National Young Leaders State Conference in Spartanburg, South Carolina.
-My sophomore year I was apart of Soylent Green Club.
-I took the ACT as a 7th grader and got a 21 without preparation. I am hoping to get a 33-36 when I take it this upcoming year.
-I haven’t taken the SAT.
Assuming I maintain my A average and GPA, get a 33-36 on the ACT and and 2200-2400 on the SAT, graduate with an IB diploma, get a job next summer, and continue my volunteer work, what are my chances of getting into Yale or another Ivy League School? I am also planning on getting my undergraduate degree somewhere else and begin residency (I want to be an Orthopedic Surgeon) before I apply to Yale. If my chances are low, could you tell me what I need to do in order to higher my chances?

Without your act and sat scores it is tough to effectively chance you. However your gpa is great. Your ecs are great. If you can get a 34-35 on the act and a 2300-2350 on the sat you will have a chance.

Chance me back?
http://talk.collegeconfidential.com/what-my-chances/1787676-ucla-and-ucsb-chances.html#latest

I think you stand a really good chance, right now, whether you apply before or after you get your undergraduate degree! I would suggest possibly joining a few more clubs and gaining leadership positions if there are any other programs around your schools that you find interesting, but you’re definitely on the right track. If you maintain your grades and do decently on the ACT and/or SAT, you’ll definitely have a great shot.