http://www.everythingairbrush.com/acatalog/Adaptors___Regulators.html
These people sell the adapter you need to make it fit a 1/8 inch BSP pipe fitting, which is your regular airbrush hose. I beleive Badger sell hoses with their specialty bit on one end. Always struck me as a way to force you to buy more things off them ; i.e unethical bussiness practises

But maybe they genuinly have a reason for choosing the tiny fixture over a standardised one. (the standard is 'British Standard Pipe' though, and Badger are American, could have something to do with it)
edit; Noticing you are in USA, That may not be your best bet to order from, but there is almost for sure a supplier in USA with this adapter. Etiher that or a Badger hose might be easy for you to get hold of.
Edit 2: If you still would use both airbrushes, look at quick connectors. Find a male piece to fit each of your brushes, and then a female piece for
th ehose... boom, hotswapable airbrushes. The quick connect piece seals as you disconnect so you dont need to reach for the regulator and kill the pressure each time.