What are you

about? NO I am lead to believe that your anger stems from being "pigeonholed" into joining a minority organization. Is that correct? You should have enlightened this young lady that your interests might also stem to NPC sororities and not just NPHC.
As McCoyred and others have correctly stated, aligning NPC and NPHC sororities' rush/intake processes won't work on many levels. Instead there should be activities that take place, i.e. Community Service that are inter NPC & NPHC. That is the way bridges will be crossed.
At Wittenberg, there was Greek Week and sometimes the Kappas would join in as a team with the NPC/IFC orgs. True unity means working to address the needs of ALL people.