I have no doubt that Panhellenic spirit will prevail, and the Greek women will support whatever new group comes to Ole Miss.
It's all about perception and tradition at southern schools. My high school classmates who went to LSU cut "the Alphas" early in recruitment. ("the curse of the Alphas" at LSU has been discussed in many threads here already, so I won't repeat it.)
It's kind of like buying a car. Even though Kia and Hyundai offer the best warranties of any make and their cars are competitively priced and attractive, most car buyers in this market segment would rather own a Honda or a Toyota.
(With all due respect to Kia and Hyundai owners.

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