I know that niggun very well, although I think you mangled the Russian. I made sure to learn the words from 2 separate Russians so I would sing it right.
By the way, what about
Nye zuriche chlopsi
T’shto snami budyet
Mipoyedem na karchonki
Tami vodke budyet.
Somehow I don’t think a Russian niggun would go over too well for an Israeli anthem.