I'm familiar with:

Mush a rig um dur um die

Now, as to them badges:

In "Treasure of the Sierra Madre," Bogie and his prospector pals are heading back to civilization with their gold dust. They run across a group of bandits who claim to be sheriffs (& deputies?). One of the prospectors says something like, "If you're sheriffs, let's see your badges." The response is (in essence), "Badges? We don't need no stinkin' badges!" at which point the bandits go for their guns. Our heroes, however, outshoot them. I'm not familiar with who has adopted this line and used it elsewhere, but I'm sure this is its origin.