I remember my dad singing this in the 60s/70s:

All you sons of Moses
With your broken noses
Fight, Fight, Fight for Israel!

This was in Portland, OR. He was born in Tacoma in 1929 to Swedish immigrant parents. I don't know where he learned it but it might have been in the Marines in the 40s where he picked up a lot of transgressive folklore that trickled out from time to time. All of our neighbors were Jewish and I went to a lot of Bar Mitzvahs and Shabbat dinners growing up and I never heard any Jewish person sing it.