sorry I can't be of more help (except that I'm also from NC so if you need advice on the logistics of the move, feel free to contact me), but we ended up being sponsored for our visa by my partner's employer. He's a Lecturer (like Asst Prof) at a university in Melbourne so they're doing all of it. I have no idea about the points system and everything.

With an MBA you MAY be able to find an employer sponsor, but there are no guarantees. I don't know how common MBAs are among Aussie citizens. If it's like in the US, there won't be a lot of options for you because there will be plenty of Aussies able to do the job that would require an MBA. However, if they are relatively uncommon here, you may be able to find companies who need someone with an MBA and are willing to pay for you to come over. Where to start, I have no idea. But i would look at large, MNCs, maybe even ones in NC that also have brances in Oz and have a transfer program in place. Are you in Charlotte or the Triangle? Or in a different part of NC?