I for one have never heard of the IFC not being members of the Fraternies on campus and have ing and elected rep. from each Org.
That is who the IFC represents and is and should be run by Greek members with an advisor probably the Greek Advisor from the school!
If there is a Greek Advisor who is a problem, then the President from each Fraternity and Soroity should to talk to someone in higher authority about getting a new Greek Advisor who has both the Greek Orgs. and the school both in their mind!
Advisor is exactly what is says they advise, not make policy unless it is against the rules of the School but advise only!