You are correct, the outside light should be your low beams/projector and the high beam really just the bulb. Is this just on one side?
As for rewiring them...the only think I can suggest is taking apart the adapter that hooks into your existing harness. I don't know exactly how much electrical experience you might have but if you can remove the terminals and reinstall them into the opposite spots on the plug. this should turn it around for you. This is just a shot at what is wrong since I am not exactly looking at it. Hope it works out for you.