Richard H. is right on the money- it's not a classification problem, it's a people problem.
If it's really a classification problem, then put the right people in the room, hammer out better qualification criteria, embed it into the CRM, and off you go. This should be the normal course of business, revisited on a semi-annual basis...
...but if you don't get the right people in the same room with leadership holding up core values, willing to spend real $$$ on a fair and equitable sales motion, then yeah, prepare for tribal warfare.