Devil's advocate?
Why do you want to be labeled? Or rather, grouped? It's clear you don't fit either mold, and are very much a moderate. Registered Independant seems the perfect fit for you.
When it comes down to it, your views are yours. And (dear lord this is going to come off cheesy) it's what you believe and your opinions that separate and elevate you as an individual. Be proud of who YOU are, do not place importance on which group you may sort of but not really fit into. Focus on that you have experience and knowledge of what you believe, which is a far better thing than having a political party.