I have an international GPA (round up to 3.6), and the LSAC transcript evaluation was only "above average". I have a STEM PhD from a top US engineering school and work experience in a law firm. I also think acing the LSAT is important. I got into Berkeley ...
I think you're very competitive for Yale. Friend of mine was 3.95 from Princeton, also Fullbright, in at Yale with 170 in 2007 when it was WAY more competitive.
I'm working on a lesson about interviews for Admissions Starter. Yes, interviews can be significant, but many schools don't use them. Prominent schools that invite some candidates to interview include Harvard and Chicago.