You happen to be in luck...because that day is today.
I just went to priceline.com to purchase a ticket from MKE to LAX. Midwest flight 1505 is an EMB 145 with money being collected by a Republic Airways subsidiary and operated by a Republic Airways subsidiary. No legacy is involved in this transaction.
It is all controlled by Republic Airways Holdings!
You don't read very well. It says Midwest flight. You even typed it yourself. When you go to Priceline, orbitz, sidestep or travelocity and search by airline there is no such thing as Republic. I even went as far as trying to find a reservations number, no such thing. I called the HQ but they just gave me the number to another airline Midwest or Frontier.