@2plustrio No, there is nothing in their website that says if you get a 35 you are automatically in. But you have to consider who the school usually admits. Ole Miss has rejected very very few applicants with 35 ACTs and the very few that they did reject likely had some other flaw.
I am a student with a 4.0 unweighted GPA, 35 ACT, very high SATII scores, 4s and 5s on AP exams and I did this in a rigorous course load. There is absolutely no reason why I should be rejected from a school like ole miss. Yes my Extracurriculars are slightly better than mediocre but still not terrible.