It's a joy to read this thread. Just to add another bit of data. We sang this song in the 1950's at Herzl Camp. To the person who sang this song at a camp in L.A. There is a possibly interesting coincidence. Zvi Dershowitz, out camp director in Minnesota went on to become a prominent rabbi in L.A. Part of our version of the song was

"We work well together, no matter what the weather.
When he says no and I say yes, one of us is right, I guess."