Do you have a reference for Obama’s SAT scores? At the time he graduated it would have been the pre-adjusted score, so it was not a bad score. It certainly would not have got him into an Ivy League school without some other special consideration - athlete, musician, artist, legacy, AA, etc.
25+ years ago, a 1300 or greater SAT score would get you into an Ivy League (or equiv.) school. Don’t know about today, but I run into kids who score over 1200 and they’re not too swift.